Articles

after 2018before 2018
2019
  1. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., 479 (2019), 1519-1548.
  2. Altybay A., Ruzhansky M., Tokmagambetov N., Wave equation with distributional propagation speed and mass term: numerical simulations. Appl. Math. E-Notes, 19 (2019), 552-562.
  3. Bekbolat B., Kassymov A, Tokmagambetov N., Blow-up of Solutions of Nonlinear Heat Equation with Hypoelliptic Operators on Graded Lie Groups. Complex Analysis and Operator Theory, 13 (2019), 3347–3357.
  4. Cardona D. Lp-estimates for a Schrödinger equation associated with the harmonic oscillator. Electron. J. Differential Equations, Vol. (2019), No. 20, pp. 1-10. arXiv:1808.02906.
  5. Cardona D., Kumar V., L^p-boundedness and L^p-nuclearity of multilinear pseudo-differential operators on Z^n and the torusT^n, J. Fourier Anal. Appl. 25(6) (2019), 2973-3017. https://doi.org/10.1007/s00041-019-09689-7
  6. Cardona, D. On the index of pseudo-differential operators on compact Lie groups. J. Pseudo-Differ. Oper. Appl. Vol. 10 (2), 285-305 (2019), arXiv:1805.10404.
  7. Cardona, D. Pseudo-differential operators in Hölder spaces revisited. Weyl-Hörmander calculus and Ruzhansky-Turunen classes, Mediterr. J. Math. 16, no. 6. Art. 148, 17 pp. (2019). arXiv:1806.09245.
  8. Cardona, D., Kumar, V. Lp-boundedness and Lp-nuclearity of multilinear pseudo-differential operators on Zn and the torus Tn, J. Fourier Anal. Appl. Vol. 25 (6), 2973-3017, (2019). arXiv:1809.08380.
  9. Chatzakou M., Sarantopoulos Y., Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces, Dolomites Res. Notes on Approxim. 12 (2019), 1
  10. Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49.
  11. Darogomir S. S., Torebek B. T., Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 113:4 (2019), 3413-3423
  12. Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on compact Lie groups. J. Inst. Math. Jussieu, 18 (2019), 531–559.
  13. Huang, J., Ruzhanshy, M., Feng, H., Zheng, L., Huang, X., and Wang, H. Feature extraction for license plate location based on l 0-norm smoothing. Open Computer Science 9, 1 (2019), 128–135.
  14. Kalmenov T. Sh., Ruzhansky M., Suragan D., On spectral and boundary properties of the volume potential for the Helmholtz equation. Math. Model. Nat. Phenom., 14 (2019), no. 5, Art. 502, 11 pp.
  15. Karimov E.T., Toshtemirov B.H., Tricomi type problem with integral conjugation condition for a mixed type equation with the hyper-bessel fractional differential operator. Bulletin of the Institute of Mathematics, 4(2019), 9-14.
  16. Kassymov A., Ruzhansky M., Suragan D., Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30 (2019), 643-655.
  17. Kumar V., Orlicz Spaces and Amenability of Hypergroups, Bull. Iran. Math. Soc. (2019). https://doi.org/10.1007/s41980-019-00310-7
  18. Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Math. Scand., 125 (2019), 239-269.
  19. Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861.
  20. Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468.
  21. Munoz J. C., Ruzhansky M., Tokmagambetov N., Acoustic and shallow water wave propagations with irregular dissipation, Funct. Anal. Appl., 53 (2019), 153-156.
  22. Munoz J. C., Ruzhansky M., Tokmagambetov N., Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Math. Pures Appl., 123 (2019), 127-147.
  23. Oparnica Lj., Zorica D., Okuka A., Fractional Burgers wave equation Acta Mechanica, 230(12), 4321-4340, 2019. doi.org/10.1007/s00707-019-02500-0
  24. Ozawa T., Ruzhansky M., Suragan D., Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, Quart. J. Math., 70 (2019), 305-318
  25. Ruzhansky M., Sabitbek B., Suragan D., Weighted anisotropic Hardy and Rellich type inequalities for general vector fields. Nonlinear Differential Equations Applications NoDEA, 26, no. 2, 26:13 (2019)
  26. Ruzhansky M., Sabitbek B., Suragan D., Weighted 𝐿𝑝-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups. Revista Matemática Complutense, 32, 19-35 (2019)
  27. Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, J. Math. Anal. Appl., 473 (2019), 892-904.
  28. Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., 44 (2019), 1159-1174.
  29. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478.
  30. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478.
  31. Ruzhansky M., Tokmagambetov N., Torebek B. T., Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations, J. Inverse Ill-Posed Probl., 27:6 (2019), 891–911
  32. Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian, Appl. Comput. Math., 18 (2019), 69-78.
  33. Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad. Ser. A. Math. Sci., 95 (2019), 83-87.
  34. Ruzhansky M., Yessirkegenov N., New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. 2019.
  35. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, Proc. Amer. Math. Soc., 147 (2019), 1335-1349.
2020
  1. Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groups. Anal. Math. Phys., 10 (2020), no. 3, 33, 20pp.
  2. Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp.
  3. Alsaedi A., Kirane M., Torebek B. T., Blow-up of smooth solutions of the time-fractional Burgers equation, Quaest. Math., 43:2 (2020), 185-192
  4. Altybay A., Ruzhansky M., Tokmagambetov N., A parallel hybrid implementation of the 2D acoustic wave equation. Int. J. Nonlinear Sci. Numer. Simul., 21 (2020), 821-827.
  5. Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. Adv. Diff. Equations, 25 (2020), 627-650.
  6. Berdyshev A., Cabada A., Karimov E., On the existence of eigenvalues of a boundary value problem with transmitting condition of the integral form for a parabolic-hyperbolic equation. Mathematics, 8(2020), 1030: 13 pages; doi:10.3390/math8061030
  7. Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zn, J. Funct. Anal., 278 (2020), no. 11, 108473, 41pp.
  8. Cardona D., del Corral, C., Kumar V., Dixmier traces for discrete pseudo-differential operators, J. Pseudo-Differ. Oper. Appl. 11, 647-656 (2020). https://doi.org/10.1007/s11868-020-00335-1
  9. Cardona, D. Sharp estimates for the Schrödinger equation associated to the twisted Laplacian. Rep. Math. Phys. Vol. 85(1), 29-39, (2020). arXiv:1810.02940.
  10. Cardona, D., Kumar, V., Del Corral, C. Dixmier traces for discrete pseudo-differential operators. J. Pseudo-Differ. Oper. Appl. Vol. 11, 647-656, (2020). arXiv:1911.03924
  11. Chatzakou M., On (λ,μ)-classes in the Engel group, Georgiev V., Ozawa T., Ruzhansky M., Wirth J. (Eds) Advances in harmonic analysis and partial differential equations, Trends in Mathematics, (2020), 37–49. (doi.org/10.1007/978-3-030-58215-9.2).
  12. Dasgupta A., Kumar V., Hilbert-Schmidt and Trace class pseudo-differential operators on the abstract Heisenberg group, J. Math. Anal. Appl. 486(2) (2020), 123936. https://doi.org/10.1016/j.jmaa.2020.123936
  13. Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing functions, Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), 103-130.
  14. Garetto C., Jäh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis. J. Differential Equations, 269 (2020), 7881-7905
  15. Karimov E., Mamchuev M., Ruzhansky M., Non-local initial problem for second order time-fractional and space-singular equation. Hokkaido Mathematical Journal, 49(2020), 349-361.
  16. Karimov E.T., Frankl-type problem for a mixed type equation with the Caputo fractional derivative. Lobachevskii Journal of Mathematics, 9(2020), 1829-1836.
  17. Kassymov A., Ruzhansky M., Suragan D., Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NoDEA Nonlinear Differential Equations Appl., 27 (2020), no. 1, Paper No. 7
  18. Kassymov A., Tokmagambetov N., Torebek B. T., Nonexistence results for the hyperbolic-type equations on graded Lie groups, Bull. Malays. Math. Sci. Soc., 43:6 (2020), 4223–4243
  19. Kirilov A., De Moraes W., Ruzhansky M., Partial Fourier series on compact Lie groups. Bull. Sci. Math., 160 (2020), 102853.
  20. Kumar V., Mondal S. S., Nuclearity of operators related to finite measure spaces, J. Pseudo-Differ. Oper. Appl. 11, (2020), 1031–1058. https://doi.org/10.1007/s11868-020-00353-z
  21. Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math. (N.S.) 31(2) (2020), 266-276 https://doi.org/10.1016/j.indag.2020.01.004
  22. Kumar V., Shravan Kumar N., Sarma R., Characterization of Multipliers on Hypergroups. Acta Math Vietnam 45, 783–794 (2020). https://doi.org/10.1007/s40306-020-00379-x
  23. Mamaeva, S., Kononova, I., Ruzhansky, M., Nikiforov, P., Nikolaev, N., Pavlov, A., Fedorova, N., Huang, J., Semenova, M., Barashkova, D., et al. Using scanning electron microscopy and atomic force microscopy to study the formation of nanoparticles on red blood cell surface in cervical cancer patients. International Journal of Biomedicine 10, 1 (2020), 70–75.
  24. Oparnica Lj., Süli E., Well posedness of the fractional Zener wave equation for heterogeneous viscoelastic materials. Fractional Calculus and Applied Analysis. 23(1) (2020), 126-166. doi.org/10.1515/fca-2020-0005.
  25. Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. (L’oscillateur harmonique sur le group de Heisenberg.) C. R., Math., Acad. Sci. Paris, 358 (2020), 609 – 614.
  26. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bulletin of Mathematical Sciences, Vol. 10, No. 03, 2050016 (2020)
  27. Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-Laplacians. Banach Journal of Mathematical Analysis, 14, 380-398 (2020)
  28. Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Annals of Functional Analysis, 11(4), 1042-1061 (2020)
  29. Ruzhansky M., Suragan D., Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups, Potential Analysis, 53 (2020), 645-658.
  30. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum, 101 (2020), 162-191.
  31. Ruzhansky M., Tokmagambetov N., Torebek B. T., Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group, Integral Transforms Spec. Funct., 31:1 (2020), 1-9
  32. Ruzhansky M., Tokmagambetov N., Torebek B. T., On a non-local problem for a multi-term fractional diffusion-wave equation, Fract. Calc. Appl. Anal., 23:2 (2020), 324-355
  33. Ruzhansky M., Tokmagambetov N., Yessirkegenov N., Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations, Calc. Var. Partial Differential Equations, 59 (2020), no. 5, paper no. 175, 23pp.
  34. Ruzhansky M., Torebek B. T., Multidimensional Van der Corput-type estimates involving Mittag-Leffler functions, Fract. Calc. Appl. Anal., 23:6 (2020), 1663-1677
  35. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theory, 10 (2020), 1361-1411.
  36. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088.
  37. Serikbaev D. Inverse problem for fractional order pseudo-parabolic equation with involution. Ufa Mathematical Journal, 12:4 (2020), 119-135
  38. Tapdigoglu R., Torebek B. T., Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation, Turkish J. Math., 44:3 (2020), 960-969
  39. Velasquez-Rodriguez, J.P., Hörmander Classes of Pseudo-Differential Operators over the Compact Group of p-Adic Integers, P-Adic Num Ultrametr Anal. Appl. 12, (2020), 134–162. https://doi.org/10.1134/S2070046620020053
  40. Zorica D., Oparnica, Lj. Energy dissipation for hereditary and energy conservation for non-local fractional wave equations. Phil. Trans. R. Soc. A. 378 (2020), 20190295. doi.org/10.1098/rsta.2019.0295.
2021
  1. Ahmad B., Alsaedi A., Kirane M., Torebek B. T., Blowing-up solutions of the time-fractional dispersive equations, Adv. Nonlinear Anal., 10 (2021), 952-971
  2. Akbarbaglu I., Azimi, M. R., Kumar V., Topological transitive sequence of cosine operators on Orlicz space, Ann. Funct. Anal., 12(2), (2021). https://doi.org/10.1007/s43034-020-00088-4
  3. Al-Musalhi F., Karimov E.T., On self-similar solutions of time and space fractional sub-diffusion equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(2021), 16-27.
  4. Alsaedi A., Kirane M., Torebek B. T., Global existence and blow-up for space and time nonlocal reaction-diffusion equation, Quaest. Math., 44:5 (2021), 747-753
  5. Altybay A., Ruzhansky M., Sebih M. E., Tokmagambetov N., Fractional Klein-Gordon equation with singular mass. Chaos, Solitons and Fractals, 143 (2021) 110579.
  6. Altybay A., Ruzhansky M., Sebih M. E., Tokmagambetov N., Fractional Schrödinger Equations with potentials of higher-order singularities. Rep. Math. Phys., 87 (1) (2021), 129-144.
  7. Altybay A., Ruzhansky M., Sebih M. E., Tokmagambetov N., The heat equation with strongly singular potentials. Applied Mathematics and Computation, 399 (2021), 126006.
  8. Avetisyan Z., Grigoryan M., Ruzhansky M., Approximations in $L^1$ with convergent Fourier series, Mathematische Zeitschrift, 299 (2021), 1907-1927.
  9. Bekbolat B., Tokmagambetov N., Well-posedness results for the wave equation generated by the Bessel operator. Bulletin of the Karaganda University. Mathematics Series, 101(2021), 11–16.
  10. Borikhanov M., Torebek B. T., Local and blowing-up solutions for an integro-differential diffusion equation and system, Chaos Solitons Fractals, 148 (2021), 1-18.
  11. Borikhanov M., Torebek B. T., Local existence and global nonexistence results for the integro-differential diffusion system with nonlocal nonlinearity, Math. Methods Appl. Sci., 44:2 (2021), 1796-1811
  12. Bramati R., A note on a Capelli operator and its resonance, (2023) Extended abstracts 2021/2022, Research perspectives Ghent Analysis and PDE Center 2, to appear.
  13. Cardona, D. The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds, to appear in, Analysis, Applications, and Computation, Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021.
  14. Cardona, D., Delgado, J., Ruzhansky, M. Lp-bounds for pseudo-differential operators on graded Lie groups. J. Geom. Anal. Vol. 31, 11603-11647, (2021). arXiv:1911.03397.
  15. Cardona, D., Esquivel, L. On the Benjamin Ono equation in the half line, Nonlinear Analysis. Vol. 212, (2021), Art. 112427. arXiv:2101.06992.
  16. Cardona, D., Esquivel, L. Sharp Strichartz estimates for the Schrödinger equation on the sphere. J. Pseudo-Differ. Oper. Appl. Vol. 12, 23 (2021). arXiv:2006.08165.
  17. Cardona, D., Kumar, V. The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory. Math. Nachr. Vol. 294(9), 1657-1683, (2021). arXiv:1901.10010
  18. Cardona, D., Messiouene, R., Senoussaoui, A. Periodic Fourier integral operators in Lp spaces. C. R. Math. Acad. Sci. Paris. Vol. 359 (5), (2021), 547-553.
  19. Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators., J. Math. Pures Appl., 153 (2021), 1-29.(doi: 10.1016/j.matpur.2021.07.006).
  20. Chatzakou M., Quantizations on the Engel and Cartan groups, J. Lie Theory 31 (2021), no. 2, 517–542.
  21. Chatzakou M., Ruzhansky M., and Tokmagambetov, N., Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case., Karapetyants A. N., Kravchenko V.V., Porter R.M., Torba S.M. (Eds.), Complex Var. Elliptic Equ., 67 (2022), 615-632. doi: 10.1080/17476933.2021.195014
  22. Chatzakou M., Sarantopoulos Y., Estimates for polynomial norms on Banach spaces, Dolomites Res. Notes Approx., 14 (2021) 40–52.
  23. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality. J. Fourier Anal. Appl., 27:15 (2021), 29pp.
  24. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, Colloq. Math., 165 (2021), 1-30.
  25. Fischer V., Ruzhansky M., Taranto C., Subelliptic Gevrey spaces. Math. Nachr., 294 (2021), 265-285.
  26. Gordi ́c S., Levajković T., Oparnica Lj., Stochastic parabolic equations with singular potentials. Chaos,Solitons and Fractals, Vol. 151, (2021), 111245. doi.org/10.1016/j.chaos.2021.111245.
  27. Karimov E. T., Sobirov Z. A., Khujakulov J. R., Solvability of a problem for a time fractional differential equation with the Hilfer operator on metric graphs. Bull. Inst. Math., 4(2021), 9-18.
  28. Karimov E., Tokmagambetov N., Khasanov Sh., Inverse problems for time-fractional mixed equation involving the Caputo fractional derivative, accepted to M. Ruzhansky, K. Van Bockstal (eds.), Extended Abstracts 2021/2022, Research Perspectives Ghent Analysis and PDE Center 2, https://doi.org/10.1007/978-3-031-42539-4_20
  29. Karimov E., Tokmagambetov N., Toshpulatov M., On a mixed equation involving Prabhakar fractional order integral-differential operators, accepted to M. Ruzhansky, K. Van Bockstal (eds.), Extended Abstracts 2021/2022, Research Perspectives Ghent Analysis and PDE Center 2, https://doi.org/10.1007/978-3-031-42539-4_25
  30. Karimov E.T., Toshtemirov B.H., Non-local boundary value problem for a mixed-type equation involving the bi-ordinal Hilfer fractional differential operators. Uzbek Mathematical Journal, 65(2021), pp.61-77.
  31. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B. T., Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems, (2021). https://doi.org/10.48550/arXiv.2110.01082
  32. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B. T., Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for the fractional derivatives, Banach J. Math. Anal., 15:1 (2021), 1-24.
  33. Kassymov A., Torebek B. T., Lyapunov-type inequalities for a nonlinear fractional boundary value problem, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 115 (2021), 1-10.
  34. Kirane M., Torebek B. T., Maximum principle for space and time-space fractional partial differential equations, Z. Anal. Anwend., 40:3 (2021), 277-301.
  35. Kirilov A., De Moraes W., Ruzhansky M., Global hypoellipticity and global solvability for vector fields on compact Lie groups. J. Funct. Anal., 280 (2021), 108806. 39pp.
  36. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. Z. Anal. Anwend., 40 (2021), 425-451.
  37. Kumar V., Ruzhansky M., A note on K-functional, Modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces, J. Approx. Theory, 264, (2021), 105537. DOI: https://doi.org/10.1016/j.jat.2020.105537
  38. Kumar V., Mondal S. S., Self-adjointness and compactness of operators related to finite measure spaces, Complex Anal. Oper. Theory, 15( 22) (2021). https://doi.org/10.1007/s11785-020-01067-2
  39. Kumar V., Mondal S. S., Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups, Bulletin des Sciences Mathématiques,171, (2021), 103015. https://doi.org/10.1016/j.bulsci.2021.103015
  40. Kumar V., Sarma R., Continuity of operators intertwining with translation operators on hypergroups. Aequat. Math. 95, (2021), 343-349. https://doi.org/10.1007/s00010-020-00745-y
  41. Kumar V., Tabatabaie S. M., Hypercyclic Sequences of weighted translations on hypergroups, Semigroup Forum, 103, (2021), 916–934. DOI:https://doi.org/10.1007/s00233-021-10226-6
  42. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. Journal of Convex Analysis. 28, (2021)
  43. Ruzhansky M., Sabitbek B., Suragan D., Principal frequency of p-versions of sub Laplacian for general vector fields. Zeitschrift für Analysis und ihre Anwendungen, 40, no. 1, 97–109, (2021)
  44. Ruzhansky M., Taranto C., Time-dependent wave equations on graded groups, Acta Appl. Math., 171 (2021), 21. 24pp.
  45. Ruzhansky M., Torebek B. T., Van der Corput lemmas for Mittag-Leffler functions. II. α-directions, Bull. Sci. Math., 171 (2021), 103016
  46. Ruzhansky M., Velasquez-Rodriguez J. P., Non-harmonic Gohberg’s lemma, Gershgorin theory and heat equation on manifolds with boundary. Math. Nachr., 294 (2021), 1783-1820.
  47. Ruzhansky M., Verma D., Hardy Inequalities on metric measure spaces, II:the case p>q, Proceedings of Royal Society A (2021) 20210136
  48. Suragan D., Yessirkegenov N., Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications, Adv. Oper. Theory, 6 (2021), Art.No. 53.
  49. Tapdigoglu R., Torebek B. T., Commutant and uniqueness of solutions of Duhamel equations, Bull. Malays. Math. Sci. Soc., 44:2 (2021), 705-710
  50. Zhang H.-W., Wave equation on certain noncompact symmetric spaces, Pure Appl. Anal., 3 (2021), 363-386.
2022
  1. Abilassan, A., Restrepo, J.E., Suragan, D., On a variant of multivariate Mittag-Leffler’s function arising in the Laplace transform method, Integr. Transf. Spec. F., 34(3), (2022), 244—260.
  2. Akylzhanov R., Kuznetsova Yu., Ruzhansky M., Zhang H., Norms of certain functions of a distinguished Laplacian on the ax+b groups. Math. Z., 302 (2022), 2327-2351.
  3. Al-Salti N., Karimov E.T., Inverse source problems for degenerate time-fractional PDE. Progr.Fract.Differ.Appl. 8(2022), 39-52.
  4. Ali I, Malghani YAK, Hussain SM, Khan N, Ro J-S. Generalization of k-Uniformly Starlike and Convex Functions Using q-Difference Operator. Fractal and Fractional. 216 (2022); 6(4): https://doi.org/10.3390/fractalfract6040216
  5. Anker J.-P., Zhang H.-W., Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces, Geom. Dedicata, 216 (2022).
  6. Bagheri Salec A. R., Kumar V., Tabatabaie S. M., Convolution Properties of Orlicz Spaces on hypergroups, Proc. Amer. Math. Soc. 150 (2022), 1685-1696. DOI: https://doi.org/10.1090/proc/15799
  7. Bédos, E., Enstad, U., van Velthoven, J.T. Smooth lattice orbits of nilpotent groups and strict comparison of projections. J. Funct. Anal. 283, No. 6 (2022), Article ID 109572, 48p.
  8. Bin-Saad M. G., Hasanov A., Ruzhansky M., Some properties relating to the Mittag–Leffler function of two variables. Integral Transforms and Special Functions. 2022, 33(5), pp. 400–418
  9. Blommaert R., Lazendic S., Oparnica Lj., The Euler-Bernoulli equation with distributional coefficients and forces. Computers & Mathematics with Applications 123 (2022), 171-183. doi.org/10.1016/j.camwa.2022.08.011.
  10. Borikhanov M., Torebek B. T., Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation, Appl. Math. Lett., 134 (2022), 108366
  11. Broucke F., Oparnica Lj., Micro-local and qualitative analysis of the fractional Zener wave equation. J. Differ. Equ. 321 (2022), 217–257. doi.org10.1016 j.jde.2022.03.006
  12. Cardona, D. Ruzhansky, M. Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups, Math. Z. 302, 1957–1981 (2022)
  13. Cardona, D., Delgado, J., Ruzhansky, M. Determinants and Plemelj-Smithies formulas, Monatsh. Math., Vol. (199), 459–482, (2022). arXiv:2012.13216.
  14. Cardona, D., Delgado, J., Ruzhansky, M. Drift diffusion equations with fractional diffusion on compact Lie groups. J. Evol. Equ. No. 22, Vol. 84, (2022).
  15. Cardona, D., Ruzhansky, M. Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups, Collect. Math. Vol. 73, 477–504, (2022).
  16. Cardona, D., Ruzhansky, M. Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators, Vol. 119, 189–198 (2022). Arch. Math.
  17. Chatzakou M., A note on spectral multipliers on the Engel and Cartan groups, Proc. Amer. Math. Soc., 150 (2022), no. 5, 2259–2270. doi: 10.1090/proc/15830.
  18. Chatzakou M., Delgado J.,Ruzhansky M., On a class of anharmonic oscillators II. General case, Bull. Sci. Math., 180 (2022), 103196. doi: 10.1016/j.bulsci.2022.103196.
  19. Chatzakou M., Kumar V., Lp-Lq boundedness of spectral multipliers of the anharmonic oscillator, C. R. Acad. Sci. Paris, 360 (2022), 343–347. doi: 10.5802/crmath.290.
  20. Chatzakou M., Ruzhansky M., Tokmagambetov N., Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case, Rep. Math. Phys., 89 (2022), 59-79. doi: 10.1016/S0034-4877(22)00010-6.
  21. Chatzakou M., Ruzhansky M., Tokmagambetov N., The heat equation with singular potentials. II: Hypoelliptic case., Acta Appl. Math., (2022), 179:2. doi:10.1007/s10440-022-00487-w.
  22. Dasgupta A., Kumar V., Ellipticity and Fredholmness of pseudo-differential operators on l^2(Z^n), Proc. Amer. Math. Soc. 150 (7), (2022), 2849–2860. 10.1090/proc/15661
  23. Dasgupta A., Ruzhansky M., Tushir A., Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation (2022), arXiv:2205.05360
  24. Dasgupta A., Ruzhansky M., Tushir A., Discrete time-dependent wave equations I. Semiclassical analysis. J. Differential Equations, 317 (2022), 89-120.
  25. Fernandez, A., Restrepo, J.E., Suragan, D., On linear fractional differential equations with variable coefficients, Appl. Math. Comput., 432, #127370, (2022).
  26. Fernandez, A., Restrepo, J.E., Suragan, D., Prabhakar-type linear differential equations with variable coefficients, Differ. Integral Equ., 35(9/10), (2022), 581-610.
  27. Hasanov A., Djuraev N., Exact Solutions of the Thin Beam with Degrading Hysteresis Behavior. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 3, pp. 577–584.
  28. Hasanov A., Ruzhansky M., Systems of differential equations of Gaussian hypergeometric functions in three variables and their linearly-independent solutions. Bulletin of the Institute of Mathematics 2022, Vol. 5, 3, pp.50-142
  29. Hasanov A., Ryskan A., Choi. J., Decomposition Formulas for Second-Order Quadruple Gaussian Hypergeometric Series by Means of Operators H(α,β) and H(α,β). Montes Taurus J. Pure Appl. Math. 4 (3), 41–60, 2022. https://mtjpamjournal.com/papers/article_id_mtjpam-d-21-00019/
  30. Hasanov A., Yuldashev A. K., Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 5, pp. 1134–1141
  31. Hasanov A., Yuldashev T. K., Exact Solutions for a Partial System of Second-Order Hypergeometric Equations and Some Decomposition Formulas. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 11, pp. 3142–3150
  32. Hendrickx A., $L^p$-$L^q$ boundedness of Fourier multipliers on fundamental domains of lattices in $\mathbb{R}^d$. J. Fourier Anal. Appl., 28 (2022), 60.
  33. Huang, J., Ruzhansky, M., Zhang, Q., and Wang, H. Intrinsic image transfer for illumination manipulation. IEEE Transactions on Pattern Analysis and Machine Intelligence 45, 6 (2022), 7444–7456.
  34. Karimov E., Ruzhansky M. and Tokmagambetov N., Cauchy type problems for fractional differential equations. Integral Transforms and Special Functions, 33 (2022), 47-64.
  35. Karimov E., Ruzhansky M., Toshtemirov B. Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. Mathematical Methods in the Applied Sciences. 2022. Vol. -P. 1-17.
  36. Karimov E., Toshtemirov B. On a time-nonlocal boundary value problem for time-fractional partial differential equation. International Journal of Applied Mathematics. 2022. Vol. 35(3). P. 423-438.
  37. Kassymov A., Kirane M., Torebek B. T., Lyapunov, Hartman-Wintner and de La Vallée Poussin-type inequalities for fractional elliptic boundary value problems, Complex Var. Elliptic Equ., 67:1 (2022), 246-258
  38. Kassymov A., Tokmagambetov N., Torebek B. T., Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents, Publ. Math. Debrecen, 100:3-4 (2022), 295-321
  39. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms. Comm. Pure Appl. Anal., 21 (2022), 3919-3940.
  40. Kumar V., Mondal S. S., $L^2-L^p$ estimates and Hilbert-Schmidt pseudo differential operators on Heisenberg motion groups, Appl. Anal. (2022). https://doi.org/10.1080/00036811.2022.2078717
  41. Kumar V., Mondal S. S., Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups, Monatsh. Math. 197 (2022), no. 1, 149–176. DOI https://doi.org/10.1007/s00605-021-01663-0 https://arxiv.org/abs/1911.10554
  42. Kumar V., Ruzhansky M., Hardy-Littlewood inequality and $L^p$-$L^q$ Fourier multipliers on compact hypergroups, J. Lie theory 32(2) (2022), 475-498. https://www.heldermann.de/JLT/JLT32/JLT322/jlt32023.htm
  43. Oralsyn G., Sabitbek B., Blow-up theorems for p-sub-Laplacian Heat operators on stratified groups. Complex Analysis and Operator Theory, 16, 99 (2022)
  44. Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg group. J. Math. Physics., 63 (2022), 23 p.
  45. Ruzhansky M., Safarov A. R., Khasanov G. A., Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4. Analysis and Mathematical Physics.-USA, 2022. Vol. 12.-No 130.-P.1-15.
  46. Ruzhansky M., Sabitbek B., Torebek B., Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation. I. Stratified Groups. Manuscripta Math., (2022).
  47. Ruzhansky M., Serikbaev D., Tokmagambetov N., Torebek B. T., Direct and Inverse problems for time-fractional pseudo-parabolic equations, Quaest. Math., 45:7 (2022), 1071-1089
  48. Ruzhansky M., Torebek B. T., Turmetov B. K., Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems, J. Integral Equations Appl., 34:3 (2022), 373-387
  49. Ruzhansky M., Yessirkegenov N., A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Nonlinear Analysis, 215 (2022), Paper No. 112621.
  50. Ruzhansky M., Yessirkegenov N., Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states. Commun. Contemp. Math., 24 (2022), 2150061.
  51. Ruzhansky M., Yessirkegenov N., Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups. J. Differential Equations, 308 (2022), 455-473.
  52. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature. J. Math. Anal. Appl., 507 (2022), 125795.
  53. Sadybekov M., Dukenbayeva A., On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball. Complex Var. Elliptic Equ., 67 (2022), 369-383.
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2023
  1. Abolarinwa A., Weighted Hardy and Rellich Types Inequalities on the Heisenberg Group with Sharp Constants. J Nonlinear Math Phys 30, (2023) 677–698.
  2. Al-Salti N., Karimov E. & Kerbal S., A boundary problem for the time-fractional Hallaire–Luikov moisture transfer equation with Hilfer derivative. Comp. Appl. Math. 42, 94 (2023). https://doi.org/10.1007/s40314-023-02231-y
  3. Ali I, On q2-analogue of the one-dimensional non-homogeneous heat equation, (2023) Extended Abstracts MWCAPDE 2023: Methusalem Workshop on Classical Analysis and Partial Differential Equations, to appear.
  4. Anker J.-P., Meda S., Pierfelice V., Vallarino M., Zhang H.-W., Schrödinger equation on non-compact symmetric spaces, J. Differential Equations, 356 (2023), 163-187.
  5. Anker J.-P., Papageorgiou E., Zhang H.-W., Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces, J. Funct. Anal., 284 (2023).
  6. Anker J.-P., Zhang H.W., Wave equation on general noncompact symmetric spaces, (2023) Amer. J. Math., to appear. https://doi.org/10.48550/arXiv.2010.08467
  7. Arzikulov Z.O., Ergashev T.G. Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. Lobachevskii Journal of Mathematics, 2023. In print.
  8. Baishemirov Z., Berdyshev A., Hasanov A., Fundamental solutions of a class of degenerate elliptic equation. Mathematical Methods in the Applied Sciences. 2023;1–7. First published: 27 March 2023 https://doi.org/10.1002/mma.9236.
  9. Bekbolat B., Serikbaev D., Tokmagambetov N., Direct and inverse problems for time-fractional heat equation generated by Dunkl operator. Journal of Inverse and Ill-Posed Problems, 31 (2023), 393–408.
  10. Bhardwaj A. K., Kumar V., Mondal S. S., Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups. Proc. Roy. Soc. Edinburgh Sect. A. (2023). https://doi.org/10.1017/prm.2023.38
  11. Bin-SAAD M. G., Younis J. A., Hasanov A., Some mathematical properties for marginal model of poisson-gamma distribution. Kragujevac Journal of Mathematics. Vol. 47(1) (2023), Pages 105–118.
  12. Borikhanov M., Ruzhansky M., Torebek B. T., Qualitative properties of solutions to the nonlinear time-space fractional diffusion equation, Fract. Calc. Appl. Anal., 26:1 (2023), 111-146
  13. Borikhanov M., Torebek B. T., On an inhomogeneous exterior Robin problems with critical nonlinearities, (2023). J. Differential Equations, to appear. https://doi.org/10.48550/arXiv.2303.14563
  14. Bramati R., Pasquale A., Przebinda T., The resonances of the Capelli operators for small split orthosymplectic dual pairs, J. Lie Theory, 33 (2023), no. 1, 93-132.
  15. Broucke F., Oparnica Lj., Distributed-order time-fractional wave equations, Z. Angew. Math. Phys. 74, 19 (2023). doi.org/10.1007/s00033-022-01899-2.
  16. Buchukuri T., Duduchava R., Tephnadze G., Γ-convergence for the bi-Laplace-Beltrami equation on hypersurfaces, (2023), to appear in, Research Perspectives Ghent Analysis and PDE Center”, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 1-8
  17. Cardona A., Gómez Cobos S., The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces, (2023) Extended Abstracts MWCAPDE 2023: Methusalem Workshop on Classical Analysis and Partial Differential Equations, to appear.
  18. Cardona D., Delgado J., Grajales, B., Ruzhansky M. Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, to appear in Commun. Pure Appl. Anal., arXiv:2301.08999.
  19. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov, N., Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary, Adv, Oper. Theory, 8(50), (2023). https://doi.org/10.1007/s43036-023-00254-0 (Open access).
  20. Cardona, D. Ruzhansky, M. Oscillating singular integral operators on compact Lie groups revisited, Math. Z. Vol. 303, 26 (2023) arXiv:2202.10531.
  21. Cardona, D., Ruzhansky, M. Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups, to appear in MSJ Memoirs, Math. Soc. Japan, arXiv:2008.09651.
  22. Cardona, D, Ruzhansky, M. Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups, to appear in Potential Analysis, arXiv:1610.04701.
  23. Cardona, D. Messiouene, R., Senoussaoui, A. Lp-bounds for Fourier integral operators on the torus, to appear in Complex Var. Elliptic Equ. arXiv:1807.09892.
  24. Cardona, D., Restrepo, J., Ruzhansky, M. Extended Abstracts 2021/2022. Birkhäuser Cham, (2023)
  25. Chatzakou M., Dasgupta A., Ruzhansky M., Tushir A., Discrete heat equation with irregular thermal conductivity and tempered distributional data. Proc. Roy. Soc. Edinburgh Sect. A, (2023) 1-24., to appear. doi:10.1017/prm.2023.84
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  27. Dasgupta A., Kumar V., Mondal S. S., Nonlinear fractional dumped wave equations on compact Lie groups, Asymptot. Anal. (2023). https://doi.org/10.3233/ASY-231842
  28. Dosmagulova, K., Kanguzhin, B., Fazullin, Z., Spectrum of a Perturbed Harmonic Oscillator. Applied Mathematics and Information Sciences, 17(4) (2023), 553–557.
  29. Dosmagulova, K., Kanguzhin, B., On Green’s function of the perturbed Laplace-Beltrami operator with a finite number of punctured points on the two-dimensional sphere, (2023) Trends in Mathematics, The volume “Women in Analysis and PDE”.
  30. Duduchava R., Laplace-Beltrami equation on Lipschitz hypersurfaces in the generic Bessel Potential spaces, (2023), to appear in, Research Perspectives Ghent Analysis and PDE Center”, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 1-8
  31. Duduchava R., Tsaava M., Tutberidze M., Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain, (2023), to appear in, Research Perspectives Ghent Analysis and PDE Center”, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 1-8
  32. Fernandez, A., Restrepo, J.E., Suragan, D., A new representation for the solutions of fractional differential equations with variable coefficients, Mediterr. J. Math., 20(27), (2023).
  33. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory, (2023) J. Lie Theory, to appear. https://arxiv.org/abs/1812.07876
  34. Ghosh S., Kumar V., Ruzhansky M., Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups, (2023), Math. Ann., to appear. DOI: 10.1007/s00208-023-02609-7.
  35. Grigor’yan, A., Papageorgiou, E., Zhang, H.-W., Asymptotic behavior of the heat semigroup on certain Riemannian manifolds, (2023) “From Classical Analysis to Analysis on Fractals – The Robert Strichartz Memorial Volume”, Springer, to appear. https://doi.org/10.48550/arXiv.2205.06105
  36. Hasanov A., Ergashev T. G., Infinite Summation Formulas for Triple Lauricella Hypergeometric Functions. Journal of Mathematical Sciences, Vol. 274, No. 2, 215-227, 2023. DOI 10.1007/s10958-023-06590
  37. Hasanov A., Vahobov V., Generalized Hypergeometric Function and its Applications to Solving the Equation of a Beam with Variable Height by the Kelvin-Voight Model. AIP Conference Proceedings 2781, 020061, JUNE 08 2023. https://doi.org/10.1063/5.0145648
  38. Hasanov A., Ergashev T., The infinite summation formulas of multiple Lauricella functions. Abstracts of the VII World Congress of Turkic World Mathematicians (TWMS Congress – 2023), September, 20-23, 2023, Turkestan, Kazakhstan. P. 174.
  39. Hasanov A., Ergashev T.G., Yuldashev T.K. Euler type integral representations for the Kamp´e de F´eriet functions. Transactions of the institute Mathematics and Mechanics of Azerbaijan Academy of Sciences – Mathematics (November, 2023); In print
  40. Hasanov A., Ergashev T.G., Yuldashev T.K. Multiple Euler type integral representations for the Kamp´e de F´eriet functions. Челябинский физ.-мат. журнал (№4, 2023). In print
  41. Hendy A. S., Zaky M. A., Van Bockstal K., Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations. Nonlinear Dynamics, 111 (2023), 3525-3537.
  42. Hong Q., Hu G., Ruzhansky M., Fourier multipliers for Hardy spaces on graded Lie groups. Proc. Royal Soc. Edinburgh, 153 (2023), 1729-1750.
  43. Huang, J., Wang, H., Wang, X., and Ruzhansky, M. Semi-sparsity for smoothing filters. IEEE Transactions on Image Processing 32 (2023),1627–16
  44. Kanguzhin, B., Dosmagulova, K., Uniquely solvable problems for the Laplace-Beltrami operator on a sphere punctured by a curve. Results in Nonlinear Analysis, 6(3) (2023), 43-49.
  45. Kanguzhin, B., Dosmagulova, K., Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere. Advances in the Theory of Nonlinear Analysis and its Applications, 7(2) (2023), 428–440.
  46. Karimov E. T., Ruzhansky M., Toshtemirov B. H., Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. Math. Meth. Appl. Sci., 46(2023), 54-70.
  47. Karimov E.T., Hasanov A., On a boundary-value problem in a bounded domain for a time- fractional diffusion equation with the Prabhakar fractional derivative. Bulletin of the Karaganda University. Mathematics Series, 111(2023), 39-46.
  48. Kashkynbayev A., Suragan D., Torebek B. T., Fisher-KPP Equation on the Heisenberg group, Math. Nachr., 296:6 (2023), 2395-2403
  49. Kassymov A., Ragusa M. A., Ruzhansky M, Suragan D., Stein-Weiss-Adams inequality on Morrey spaces. J. Funct. Anal., 285 (2023), no. 11, Paper No. 110152.
  50. Kassymov A., Ruzhansky M., Suragan D., Hardy inequalities on metric measure spaces, III: The case q<=p<0 and applications. Proc. R. Soc. A, 479 (2023), no. 2269, Paper No. 307, 16pp.
  51. Kassymov A., Ruzhansky M., Suragan D., Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems. Potential Analysis, 59 (2023), 1971-1994. doi (open access), arxiv
  52. Kassymov A., Ruzhansky M., Torebek B. T., Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems, Mediterr. J. Math., 20:3 (2023), 119
  53. Koppensteiner, S., van Velthoven, J.T., Voigtlaender, F. Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I. Monatsh. Math. 201, No. 2 (2023), 375-429.
  54. Kumar V., Mondal, S. S., Symbolic calculus and $M$-ellipticity of pseudo-differential operators on Z^n, (2023), Anal. Appl. (Singap.), to appear. https://doi.org/10.1142/S0219530523500215
  55. Kumar V., Ruzhansky M., $L^p$-$L^q$ boundedness of (k, a)-Fourier multipliers with applications to nonlinear equations, Int. Math. Res. Not. IMRN, no. 2, (2023) 1073-1093. DOI 10.1093/imrn/rnab256 (Open Access).
  56. Kumar V., Ruzhansky M., $L^p$-$L^q$ multipliers on commutative hypergroups, (2023), J. Aust. Math. Soc., to appear. https://arxiv.org/abs/2108.01146
  57. Lee G., Logarithmic Sobolev inequalities of fractional order on noncommutative tori, (2023), Extended Abstracts 2021/2022 Ghent Analysis and PDE Seminar, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 69-78
  58. Maes F., Van Bockstal K., Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation. Fractional Calculus and Applied Analysis. 26 (2023), 1663-1690.
  59. Mityushev, V., Gric, T., Zhunussova, Z., Dosmagulova, K., An asymptotic homogenization formula for complex permittivity and its application. Advances in the Theory of Nonlinear Analysis and its Applications, 7(1) (2023), 243-252.
  60. Restrepo J., Ruzhansky M., Suragan D., Generalized fractional Dirac type operators. Fract. Calc. Appl. Anal., 26 (2023), 2720-2756. doi, arxiv
  61. Rottensteiner D., Ruzhansky M., An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups. Arch. Math., 120 (2023), 507 – 520.
  62. Ruzhansky M., B. Sabitbek, Torebek B. T., Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups, Manuscripta Math., 171:3-4 (2023), 377-395
  63. Ruzhansky M., Sabitbek B., Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. European Journal of Mathematics, 9, 61, (2023)
  64. Ruzhansky M., Sebih M. E., Tokmagambetov N., Schrödinger equation with singular position dependent mass. Z. Anal. Anwend., 42 (2023), no. 1/2, pp. 131–144.
  65. Ruzhansky M., Torebek B. T. (Eds.), Extended Abstracts MWCAPDE 2023, Trends in Mathematics (TM, volume 1), Research Perspectives Ghent Analysis and PDE Center. 173pp. https://link.springer.com/book/9783031416644
  66. Ruzhansky, M., Shaimardan, S., Yeskermessuly, A., Wave equation for Sturm-Liouville operator with singular potentials. Journal of Mathematical Analysis and Applications, Volume 531, Issue 1, Part 2, (2024), https://doi.org/10.1016/j.jmaa.2023.127783.
  67. Ruzhansky, M., Yeskermessuly, A., Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential. Bulletin of the Malaysian Mathematical Sciences Society (BMMS), (2023). arXiv:2210.02789
  68. Sabitbek B., Torebek B. T., Global existence and blow-up of solutions to the nonlinear porous medium equation, (2023). Discrete Contin. Dyn. Syst. A, to appear. https://doi.org/10.48550/arXiv.2104.06896
  69. Shriwastawa, A., A note on Hardy inequality in metric measure space for the case p = 1 (2023). (contributed for the volume Women in Analysis and PDE ).
  70. Smadiyeva A. G., Torebek B. T., Decay estimates for the time-fractional evolution equations with time-dependent coefficients, Proc. A., 479:2276 (2023), 20230103
  71. Torebek B. T., Critical exponents for the p-Laplace heat equations with combined nonlinearities, (2023). J. Evol. Equ., to appear. https://doi.org/10.48550/arXiv.2212.14332
  72. Torebek B. T., Sub-diffusion equations with Mittag-Leffler nonlinearity, Discrete Contin. Dyn. Syst. S, 16:6 (2023), 1669-1685
  73. Van Bockstal K., Zaky M. A., Hendy A. S., On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations, (2023) Fractional Calculus and Applied Analysis, to appear. https://doi.org/10.1007/s13540-023-00184-x
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  75. Toshtemirov, B. Direct and inverse source problem for 2D Landau Hamiltonian operator Georgian Mathematical Journal, 2023. https://doi.org/10.1515/gmj-2023-2059
  76. Wang X., Huang J., Chatzakou M., Medijainen K., Taba P., Toomela A., Nõmm S., Ruzhansky M., A Light-weight CNN Model for Efficient Parkinson’s Disease Diagnostics, 2023 IEEE 36th International Symposium on Computer-Based Medical Systems (CBMS), L’Aquila, Italy (2023), 616–621. doi: 10.1109/CBMS58004.2023.00289
  77. Younis J. A., Hasanov A., El Salam M. A. A., Certain decomposition formulas for hypergeometric Gaussian functions in three variables. Palestine Journal of Mathematics. Vol. 12(1)(2023) , 101–110.
  78. Zari, I., Gul, T., Dosmagulova, K., Saee, T., Haq, S., Heat transfer analysis of Radiative-Marangoni Convective flow in nanofluid comprising Lorentz forces and porosity effects. Advances in the Theory of Nonlinear Analysis and its Applications, 7(1) (2023), 61-81
  79. Zhang R., Kumar V., Ruzhansky M., Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian. Acta Appl. Math., 188 (2023), no 1, paper 16. doi, arxiv
2024
  1. Abolarinwa A., Ruzhansky M., Generalised Hardy type and Rellich type inequalities on the Heisenberg group. J. Pseudo-Differ. Oper. Appl., 15 (2024), no 1., 3. doi, arxiv
  2. Ahmad A., Manzoor R., Ali I., Kalsoom S., Azhar N., Jamil N., Behlil F., Numerical study of flow behind the TODs in side-by-side arrangement through lattice Boltzmann method, Kurdish Stud., 12(5) (2024), 897-915. DOI: 10.53555/ks.v12i5.3373.
  3. Arzikulov Z.O., Ergashev T.G. Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. Lobachevskii Journal of Mathematics, 45(2)(2024), 591-603.
  4. Avetisyan Zh., Ruzhansky M., A note on the polar decomposition in metric spaces. J. Math. Sci., 280 (2024), 73-82. doi (open access), arxiv
  5. Bekbolat, B., Tokmagambetov, N. Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator. Bound Value Probl, 52 (2024). https://doi.org/10.1186/s13661-024-01859-x
  6. Borikhanov M., Torebek B. T., Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases, J. Math. Anal. Appl., 536:1 (2024), 128172.
  7. Borikhanov M., Torebek B. T., On inhomogeneous exterior Robin problems with critical nonlinearities, J. Differential Equations, 380 (2024), 1-23.
  8. Botchway L., Chatzakou M., Ruzhansky M., Semi-classical pseudo-differential operators on ℏℤn and applications. J. Fourier Anal. Appl., 30 (2024), 4:41. doi (open access), arxiv
  9. Bramati R., Dalla Riva M, Luzzini P., Musolino P., The Functional Analytic Approach for quasi-periodic boundary value problems for the Helmholtz equation, Adv. Differential Equation 29 (2024), no. 1/2, 27-68.
  10. Cardona D., Delgado J., Ruzhansky M., Well-posedness for a class of pseudo-differential hyperbolic equations on the torus. Aequationes Math., 98 (2024), 1019-1038. doi (open access), arxiv
  11. Cardona D., Delgado J., Ruzhansky M., Boundedness of the dyadic maximal function on graded Lie groups. Quart. J. Math., 75 (2024), 809–834. doi, arxiv
  12. Cardona D., Delgado J., Ruzhansky M., Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups. J. Geom. Anal., 34 (2024), 12:374. doi (open access), arxiv
  13. Cardona D., Delgado J., Ruzhansky M., A note on the local Weyl formula on compact Lie groups. J. Lie Theory, 34 (2024), 237-248. link, arxiv
  14. Cardona A., Gómez Cobos S., The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces. Extended Abstracts MWCAPDE 2023: Methusalem Workshop on Classical Analysis and Partial Differential Equations, (2024), 13-22.
  15. Cardona D., Federico S., Ruzhansky M., Subelliptic sharp Gårding inequality on compact Lie groups. Pure Appl. Anal., 6 (2024), 455-485. doi, arxiv
  16. Cardona D., Kowacs A., Global Hypoellipticity on Homogeneous Vector Bundles: Necessary and Sufficient Conditions. In: Chatzakou, M., Restrepo, J., Ruzhansky,
  17. Cardona D., Grajales B, (Editors). Analysis and PDE in Latin America, ICMAM 2022 Latin America to appear in Research Perspectives: Ghent Analysis and PDE Center, Birkhäuser, 2024.
  18. Cardona, D. Restrepo, J. Ruzhansky, M (Editors). Extended Abstracts 2021/2022, Methusalem Lectures, Research Perspectives: Ghent Analysis and PDE Center, Birkhäuser, 2024. https://link.springer.com/book/9783031485787
  19. Cardona D., Duduchava R., Hendrickx, A., Ruzhansky, M., Generic Bessel potential spaces on Lie groups. Tbilisi Analysis and PDE Seminar, 43-54, Trends Math., 7, Res. Perspect. Ghent Anal. PDE Cent., 7, Birkhäuser/Springer, Cham, 2024.
  20. Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. Potential Analysis, 60 (2024), 965–1005. doi (open access), arxiv
  21. Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. Complex Var. Elliptic Equ., 69 (2024), 1049-1082. doi, arxiv
  22. Chatzakou M., Federico S., Zegarlinski B., q-Poincarè inequalities on Carnot groups with filiform type Lie algebra, Potential Anal., (2024) 60:1067–1092. https://doi.org/10.1007/s11118-023-10079-4.
  23. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev-type inequalities on Lie groups. J. Geom. Anal., (2024) 34:275. doi (open access), arxiv
  24. Chatzakou M., Kassymov A., Ruzhansky M., Anisotropic Shannon inequality. Osaka J. Math., 61 (2024), 79-89. link (open access), arxiv
  25. Chatzakou M., Ruzhansky M., Revised logarithmic Sobolev inequalities of fractional order. Bull. Sci. Math., 197 (2024), Paper No 103530.
  26. Chatzakou M., Huang J., Parakhonskiy B. V., Ruzhansky M., Skirtach A. G., Song J., Wang X., Performing Particle Image Segmentation on an Extremely Small Dataset, Analysis and PDE Workshop, Springer Nature Switzerland, Cham, 2021, pp. 295-304.
  27. Chatzakou, M. , Log-Sobolev and Nash Inequalities on Graded Groups. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2. Birkhäuser, Cham. (2024). (DOI: https://doi.org/10.1007/978-3-031-42539-4_3)
  28. Chatzakou, M., Tushir, A., Very Weak Solution of the Discrete Heat Equation with Irregular Time-Dependent Thermal Conductivity. In: Ruzhansky, M., Torebek, B. (eds) Extended Abstracts MWCAPDE 2023. MWCAPDE 2023. Trends in Mathematics, vol 1. Birkhäuser, Cham (2024).(DOI: https://doi.org/10.1007/978-3-031-41665-1_14).
  29. Dasgupta A., Mondal Sh., Ruzhansky M., Tushir A., Time-fractional discrete diffusion equation for Schrodinger operator. Fract. Calc. Appl. Anal., 27 (2024), 3208-3239.
  30. Dasgupta A., Kumar V., Mondal Sh., Ruzhansky M., Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order. J. Evol. Equ., 24 (2024), no. 3, paper No. 51. doi (open access), arxiv
  31. Dauitbek D., Tulenov K. Extensions of Nazarov-Podkorytov lemma in non-commutative spaces of tau-measurable operators. Positivity, 28 (2024), 1-12
  32. De Moraes W. A. A., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, I. Compact Lie groups. Int. Math. Res. Not. IMRN, 2 (2024), 1299-1328. doi, arxiv
  33. Ergashev T.G., Hasanov A., Yuldashev T.K. Some Infinite Expansions of the Lauricella Functions and Their Application in the Study of Fundamental Solutions of a Singular Elliptic Equation. Lobachevskii Journal of Mathematics, 45(3)(2024), 1072-1085.
  34. Ergashev T.G., Hasanov A., Yuldashev T.K.Euler type integral representations for the Kampé de Fériet functions. Journal of Mathematical Sciences, 279(1)(2024), 22-36.
  35. Ergashev T.G., Hasanov A., Yuldashev T.K., Shamilova B.G. The infinite summation formulas of the Multiple Lauricella’s hypergeometric functions. Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci. Mathematics, 44(4)(2024), 22-33.
  36. Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. Nonlinear Anal., 242 (2024), 113500. doi, arxiv
  37. Fino A., Ruzhansky M., Torebek B., Fujita-type results for the degenerate parabolic equations on the Heisenberg groups.  NoDEA Nonlinear Differential Equations Appl., 31, 19 (2024). doi, arxiv
  38. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. J. Lie Theory, 34 (2024), 51-92. link, arxiv
  39. Gómez Cobos S., Restrepo J., Ruzhansky M., Lp-Lq estimates for non-local heat and wave type equations on locally compact groups. C. R. Acad. Sci. Paris, 362 (2024), 1331-1337.
  40. Ghosh S., Kumar V., Ruzhansky M., Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups. Math. Ann., 388 (2024), 4201-4249. doi (open access), arxiv
  41. Ghosh A., Ruzhansky M., Sparse bounds for oscillating multipliers on stratified groups. Monatsh. Math., 205 (2024), 511-529.
  42. Hasanov A., Karimov E., On a boundary-value problem in a bounded domain for a time-fractional diffusion equation with the Prabhakar fractional derivative. Bulletin of the Karaganda university Mathematics series, 111(3) (2023), 39-46.
  43. Hendrickx A., Boundedness of Fourier Multipliers on Fundamental Domains of Lattices. Trends in Mathematics. Extended Abstracts 2021/2022: Ghent Analysis and PDE Seminar, 2 (2024), 45-48.
  44. Hendrickx A., Titchmarsh Theorems for Fourier Transforms of Hölder-Lipschitz Functions on Fundamental Domains of Lattices. Trends in Mathematics. Extended Abstracts MWCAPDE 2023, 1 (2024), 41-51.
  45. Ikromov I., Ruzhansky M., Safarov A., Oscillatory integrals for Mittag-Leffler functions with two variables. C. R. Acad. Sci. Paris, 362 (2024), 789-798. doi
  46. Jerbashian A.M., Rafayelyan S.G., Restrepo J.E., Some aspects of the contribution of Mkhitar Djrbashian to fractional calculus. Fract. Calc. Appl. Anal., 27 (2024) 971-986. https://doi.org/10.1007/s13540-024-00267-3
  47. Jerbashian, A.M., Restrepo, J.E.: Functions of Omega Bounded Type. Birkhäuser, Basel (2024) (to appear). https://link.springer.com/book/9783031498848
  48. Karimov E., Tokmagambetov N., Khasanov Sh., Inverse Problems for Time-Fractional Mixed Equation Involving the Caputo Fractional Derivative. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2(2024) Birkhäuser, Cham., chapter 20, 157-162.
  49. Karimov, E., Tokmagambetov, N., Toshpulatov, M., On a Mixed Equation Involving Prabhakar Fractional Order Integral-Differential Operators. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2.(2024) Birkhäuser, Cham., chapter 25, 221-230.
  50. Karimov E., Sobirov Z., Khujakulov J., A non-local problem for a time-fractional differential equation with the Hilfer operator on metric graph, Math. Meth. Appl. Sci., 47 (2024), 13562-13580.
  51. Karimov E.T., Tokmagambetov N.E., Inverse Problem on Finding Unknown Time-Moment for Mixed Wave-Diffusion Equation. Lobachevskii Journal of Mathematics, 45(7) (2024), 3323-3331.
  52. Karimov E., Tokmagambetov N., Usmonov D., Inverse-initial problem for time-degenerate PDE involving the bi-ordinal Hilfer derivative. Cybernetics and Systems Analysis, 60(5) (2024), 799-809.
  53. Kassymov A., Kumar V., Ruzhansky M., Functional inequalities on symmetric spaces of noncompact type and applications. J. Geom. Anal., 34, 208 (2024). doi (open access), arxiv
  54. Kassymov A., Ruzhansky M., Suragan D., Fractional Hardy type inequalities on homogeneous Lie groups in the case Q<sp. Illinois J. Math., 68 (2024), 415-431. doi, arxiv
  55. Kassymov A., Torebek B. T., Lyapunov-type inequality and positive solutions for a nonlinear fractional boundary value problem, (2024) Rend. Circ. Mat. Palermo, to appear. (https://doi.org/10.1007/s12215-024-01124-1)
  56. Kakharman N., Tulenov K. Rayleigh-Faber-Krahn and Hong-Krahn-Szego type inequalities for the heat operator, (2024) Complex Var. Elliptic Equ., to appear. DOI: 10.1080/17476933.2024.2312516
  57. Komilova, N., Hasanov, A., & Ergashev, T. Expansions of Kampe de Feriet hypergeometric functions. Journal of Mathematics, Mechanics and Computer Science, 122(2), 49–64. 2024. Q(4) https://bm.kaznu.kz/index.php/kaznu/article/view/1503 https://doi.org/10.26577/JMMCS2024-122-02-b5.
  58. Kowacs A., Ruzhansky M., Lieb-Thirring inequalities on the spheres and SO(3). Anal. Math. Phys., 14 (2024), Paper No 131. 
  59. Kian Y., Slodička M., Soccorsi E., Van Bockstal K., On time-fractional partial differential equations of time-dependent piecewise constant order, Mathematical Methods in the Applied Sciences, 48 (2025), 2354-2369
  60. Kumar V., Ruzhansky M., Zhang R., Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity. Ann. Fenn. Math., 49 (2024). 561-582.
  61. Kumar V., Restrepo J.E., Titchmarsh Theorem by Modulus of Continuity for the Deformed Hankel–Lipschitz Classes. In: Ruzhansky, M., Torebek, B. (eds) Extended Abstracts MWCAPDE 2023. MWCAPDE 2023. Trends in Mathematics, vol 1. Birkhäuser, Cham, 2024. https://doi.org/10.1007/978-3-031-41665-1_9
  62. Kumar V., Restrepo J., Ruzhansky M., Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity. Results Math., 79, 22 (2024). doi, arxiv
  63. Le V. C., Slodička M., Van Bockstal K., A numerical scheme for solving an induction heating problem with moving non-magnetic conductor, Computers and Mathematics with Applications, 171 (2024), 60-81
  64. Maes F. and Van Bockstal K., On inverse source problems for space-dependent sources in thermoelasticity, Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, (2024), 153-161
  65. Maes F. and Van Bockstal K., An estimate for the multivariate Mittag-Leffler function, Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 2, (2024), 249-255.
  66. Maes F., Van Bockstal K., Numerical Algorithms for the Reconstruction of Space-Dependent Sources in Thermoelasticity, (2024), arXiv:2410.05775
  67. Manzoor R., Ahmad Z., Ali I., Aslam F., A two-dimensional instability in mixed convection with spatially periodic lower wall heating by LBM method, Kurdish Stud., 12(5) (2024), 1123-1129. DOI: 10.53555/ks.v12i5.3426.
  68. Pedroso Kowacs A., Fourier Analysis on Hypercylinders. In: Cardona, D., Grajales, B. (eds) Analysis and PDE in Latin America. ICMAM 2022. Trends in Mathematics(), vol 10. Birkhäuser, Cham. (2024), 114-121.
  69. Roychowdhury P., Ruzhansky M., Suragan D., Multidimensional Frank-Laptev-Weidl improvement of the Hardy inequality. Proc. Edinb. Math. Soc., 67 (2024), 151-167. doi, arxiv
  70. Roychowdhury P., Suragan D., Improvement of the discrete Hardy inequality, Bull. Sci. Math., 195 (2024) 103468.
  71. Ruzhansky M., Shaimardan S., Yeskermessuly A., Wave equation for Sturm-Liouville operator with singular potentials. J. Math. Anal. Appl., 531 (2024), no. 1, Paper No. 127783. doi, arxiv
  72. Ruzhansky M., Sebih M., Tokmagambetov N., Fractional wave equation with irregular mass and dissipation. Z. Angew. Math. Phys., 75 (2024), no 5, Paper 184.  doi, arxiv
  73. Ruzhansky M., Shriwastawa A., Tiwari B., Hardy inequalities on metric measure spaces, IV: The case p=1. Forum Math., 36 (2024), 1603–1611. doi, arxiv
  74. Ruzhansky M., Shriwastawa A., Tiwari B., A note on best constants for weighted Hardy inequalities on homogeneous groups. Results Math., 79, 29 (2024). doi, arxiv
  75. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. I. Z. Anal. Anwend., 43 (2024), 349-376. doi (open access), arxiv
  76. Ruzhansky M., Yessirkegenov N., Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. J. Geom. Anal., 34, 223 (2024). doi (open access), arxiv
  77. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. Math. Z., 307 (2024), no. 2, paper no. 22. doi (open access), arxiv
  78. Sabitbek B., Torebek B. T., Global existence and blow-up of solutions to the double nonlinear porous medium equation, Discrete Contin. Dyn. Syst. A, 44:3 (2024), 743-767.
  79. Torebek M., Van Bockstal K., (eds) Modern Problems in PDEs and Applications. MWCAPDE 2023. Trends in Mathematics(), vol 4. Birkhäuser, Cham. (2024), 141-151.
  80. Van Bockstal K., Inverse source problems in thermoelasticity, Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, (2024), 215-224.
  81. Wang X., Huang J., Chatzakou M., Nomm S., Valla E., Medijainen K., Taba P., Toomela A., Ruzhansky M., Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control, 87 (2024) 105436. doi, arxiv
  82. Wang X., Text Matching as Time Series Matching, Analysis and PDE Workshop, Springer Nature Switzerland, Cham, 2021, pp. 283-293.
  83. Wang X., Nõmm S., Huang J., Chatzakou M., Ruzhansky M., An Efficient Neural Network for the Diagnosis of Parkinson’s Disease Using Dynamic Handwriting Analysis, Methusalem Workshop on Classical Analysis and PDEs, Springer Nature Switzerland, Cham, 2023, pp. 97-104.
  84. Wang X., Huang J., Nomm S., Chatzakou M., Medijainen K., Toomela A., Ruzhansky M., LSTM-CNN: An efficient diagnostic network for Parkinson’s disease utilizing dynamic handwriting analysis. Computer Methods and Programs in Biomedicine, 247 (2024), 108066. doi, arxiv
  85. Wang X., Huang J., Chatzakou M., Nomm S., Valla E., Medijainen K., Taba P., Toomela A., Ruzhansky M., Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control, 87 (2024) 105436. doi, arxiv
  86. Zhang R., Kumar V., Ruzhansky M., A direct method of moving planes for logarithmic Schrödinger operator. Z. Anal. Anwend., 43 (2024), 287-297. doi (open access), arxiv
2025
  1. Akhymbek M., Tulenov K., Ozbekbay B. Spectrum of the Hilbert transform on Lorentz spaces Lp,q , (2024) Complex Var. Elliptic Equ., to appear. DOI: 10.1080/17476933.2024.2312516
  2. Borikhanov M., Ruzhansky M., Torebek B., Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg group. Discrete Contin. Dyn. Syst. Ser. S, to appear. doi, arxiv
  3. Borikhanov M., Ruzhansky M., Torebek B., The Fujita exponent for a semilinear heat equation with forcing term on the Heisenberg group. Math. Meth. Appl. Sci., to appear. arxiv
  4. Cardona D., Chatzakou M., Ruzhansky M., Toft J., Schatten-von Neumann properties for Hörmander classes on compact Lie groups. Forum Math., to appear. arxiv
  5. Cardona D., Delgado J., Kumar V., Ruzhansky M., Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups. Osaka J. Math., to appear. arxiv
  6. Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. MSJ Memoirs, to appear. arxiv
  7. Cardona D., Ruzhansky M., Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. Hokkaido Math. J., to appear. arxiv
  8. Chatzakou M., Dasgupta A., Ruzhansky M., Tushir A., Discrete heat equation with irregular thermal conductivity and temperate distributional data. Proc. A Royal Soc. Edinburgh, to appear. doi, arxiv
  9. Dasgupta A., Ruzhansky M., Tushir A., Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group. Math. Meth. Appl. Sci., to appear. arxiv
  10. Kassymov A., Ruzhansky M., Zaur G., On fractional inequalities on metric measure spaces with polar decomposition. Forum Math., to appear. doi, arxiv
  11. Kumar M., Kumar V., Ruzhansky M., Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order. Int. J. Math., to appear. arxiv
  12. Lee G., Lesch M., Weakly parametric pseudodifferential calculus for twisted $C^*$-dynamical systems, (2023) J. Noncommut. Geom., to appear. (https://arxiv.org/abs/2307.00435)
  13. Lee G., Lein M., A proof of $\mathfrak{L}^2$-boundedness for magnetic pseudodifferential super operators via matrix representations with respect to Parseval frames, (2024) Monatsh. Math., to appear. (https://arxiv.org/abs/2405.19964)
  14. Rana T., Ruzhansky M., Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane. Ann. Sc. Norm. Super. Pisa Cl. Sci., to appear. arxiv
  15. Restrepo J., Ruzhansky M., Torebek B., Integro-differential diffusion equations on graded Lie groups. Asymptotic Anal., to appear. arxiv
  16. Ruzhansky M., Sabitbek B., Hardy and Rellich inequalities with Bessel pairs. Proc. Edinburgh Math. Soc., to appear. arxiv
  17. Ruzhansky M., Yeskermessuly A., Schrödinger equation for Sturm-Liouville operator with singular propagation and potential. Z. Anal. Anwend., to appear. arxiv
  18. Ruzhansky M., Yimer M. F., Levin-Cochran-Lee inequalities and best constants on homogeneous groups. Aequationes Math., to appear. arxiv
  19. Serikbayev D., Ruzhansky M., Tokmagambetov N., Heat source determining inverse problem for non-local in time equation. Math. Meth. Appl. Sci., 48 (2025), 1768-1791.
  20. Zhang R., Kumar V., Ruzhansky M., Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere. J. Math. Anal. Appl., 543 (2025), Paper No 129029.
Preprints
  1. Akhymbek M., Ruzhansky M., Tulenov K., On geometric properties of lp-spaces on unitary duals of compact groups. arxiv
  2. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Tsunami propagation for singular topographies. arxiv
  3. Avetisyan Z., Karapetyants A., Mixed-Fourier-norm spaces and holomorphic functions, (2024). https://arxiv.org/abs/2411.15379
  4. Avetisyan Z., Karapetyants A., Smirnova I., Mixed Fourier norm spaces of analytic functions on the upper half-plane and Toeplitz operators, (2024). https://arxiv.org/abs/2412.18954
  5. Avetisyan Z., Grigoryan M., Ruzhansky M., Elements (functions) that are universal with respect to a minimal system. arxiv
  6. Avetisyan Zh., Khachatrsyan Kh., Ruzhansky M., Parabolic equations with concave non-linearity. arxiv
  7. Bekbolat B., Tokmagambetov N., One inverse source problem generated by the Dunkl operator, (2023). arXiv:2308.01232.
  8. Bramati, R., Dalla Riva M., Luczak B., Continuous harmonic functions on a ball that are not in H^s for s>1/2, (2022). https://arxiv.org/pdf/2203.04744.pdf
  9. Cardona D. The Wodzicki residue for pseudo-differential operators on compact Lie groups, Harmonic Analysis and Partial Differential Equations. Trends in Mathematics, arXiv:2201.12336
  10. Cardona D., Kowacs A., Global hypoellipticity of G-invariant operators on homogeneous vector bundles, (2024). https://doi.org/10.48550/arXiv.2310.17288
  11. Cardona D., Kirilov A., de Moraes W. A. A., Kowacs A., On the Sobolev boundedness of vector fields on compact Riemannian manifolds, (2024). https://doi.org/10.48550/arXiv.2404.00182
  12. Cardona D. Characterisation of certain Schatten-von Neumann classes on the torus, submitted.
  13. Cardona D. Hörmander condition for pseudo-multipliers associated to the harmonic oscillator, submitted. arXiv:1810.01260.
  14. Cardona D. On the multiplier problem for the ball on graded Lie groups, submitted. arXiv:2012.11057.
  15. Cardona D. Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2, submitted.
  16. Cardona D. Spectral inequalities for elliptic pseudo-differential operators on closed manifolds, submitted, arXiv:2209.10690.
  17. Cardona D., Chatzakou M., Delgado J., Kumar V., Ruzhansky M., Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations. arxiv
  18. Cardona D., Chatzakou M., Delgado J., Ruzhansky M., Degenerate Schrödinger equations with irregular potentials. arxiv
  19. Cardona D., Delgado J., Muñoz Tello A. Gateaux differentiability of the Sobolev norm W(k,1)(M) on compact Riemannian manifolds, submitted.
  20. Cardona D., Delgado J., Ruzhansky M., Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations. arxiv
  21. Cardona D., Delgado J., Ruzhansky M., Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation. arxiv
  22. Cardona D., Delgado J., Ruzhansky M., Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds. arxiv
  23. Cardona D., Duduchava R., Hendrickx A., Ruzhansky M., Global pseudo-differential operators on the Lie group $G=(-1,1)^n$. arxiv
  24. Cardona D., Grajales B., Ruzhansky M. On the sharpness of Strichartz estimates and spectrum of compact Lie groups. arxiv
  25. Cardona D., Kumar V., Ruzhansky M., Pseudo-differential operators on homogeneous vector bundles over compact homogeneous manifolds. arxiv
  26. Cardona D., Kumar V., Ruzhansky M., Lp-Lq boundedness of pseudo-differential operators on graded Lie groups. arxiv
  27. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. arxiv
  28. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Lp–Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. arxiv
  29. Cardona D., Ruzhansky M., The weak (1,1) boundedness of Fourier integral operators with complex phases. arxiv
  30. Cardona D., Ruzhansky M., Boundedness of oscillating singular integrals on Lie groups of polynomial growth. arxiv
  31. Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. arxiv
  32. Cardona D., Ruzhansky M., Weak (1,1) continuity and Lp-theory for oscillating singular integral operators. arxiv
  33. Chatzakou M, Federico S., Zegarlinski B., Poincarè inequalities on Carnot groups and spectral gap of Schrödinger operators, (2022). https://arxiv.org/abs/2211.09471.
  34. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Hardy-Rellich inequalities on Lie groups. arxiv
  35. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev, Hardy and Poincaré inequalities on the Heisenberg group. arxiv
  36. Chatzakou M., Kassymov A., Ruzhansky M., On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups. arxiv
  37. Chatzakou M., Geometric logarithmic Hardy and Hardy-Poincaré inequalities on stratified groups (2024). ArXiv: 2402.10279.
  38. Chatzakou M.., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups. arxiv
  39. Chatzakou M., Ruzhansky M., Shriwastawa A., Sharp upper bound for anisotropic Renyi entropy and Heisenberg uncertainty principle. arxiv
  40. Chatzakou M., Ruzhansky M., Yannakakis N., Nearness and solvability of non-invariant equations on stratified groups. arxiv
  41. Dasgupta A., Mondal S., Ruzhansky M., Tushir A., Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential. arxiv
  42. Dasgupta A., Kumar V., Mohan L., Mondal S. S., Non-harmonic M-elliptic pseudo differential operators on manifolds. https://doi.org/10.48550/arXiv.2307.10825
  43. Dasgupta A., Kumar V., Mondal Sh., Ruzhansky M., Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces. arxiv
  44. Dasgupta A., Ruzhansky M., Tushir A., Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation. arxiv
  45. Delgado J., Velasquez-Rodriguez J., Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups, (2022). https://arxiv.org/abs/2204.07133.
  46. Federico S., Rottensteiner D., Ruzhansky M., Weyl calculus on graded groups. arxiv
  47. Ganguly P., Rana T., Sarkar J., Weighted estimates for Hardy-Littlewood maximal functions on Harmonic $NA$ groups. https://arxiv.org/abs/2307.10806
  48. Gómez Cobos S., Restrepo J. E., Ruzhansky M., Heat-wave-Schrödinger type equations on locally compact groups. arxiv
  49. Gómez Cobos S., Restrepo J., Ruzhansky M., Evolutionary integro-differential equations of scalar type on locally compact groups. arxiv
  50. Gómez Cobos S., Ruzhansky M., Lp-bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry. arxiv
  51. Ghosh S., Kumar V., Ruzhansky M., Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. arxiv
  52. Ghosh S., Kumar V., Ruzhansky M., Subelliptic nonlocal Brezis-Nirenberg problems on stratified Lie groups. arxiv
  53. Hasanov A., Karimov E., On generalized Mittag-Leffler type functions of two variables, (2023), http://dx.doi.org/10.13140/RG.2.2.11061.45288
  54. Huang J., Wang H., Ruzhansky M., Semi-sparsity on piecewise constant function spaces for triangular mesh denoising. arxiv
  55. Huang J., Wang H., Ruzhansky M., Semi-sparsity priors for image structure analysis and extraction. arxiv
  56. Huang J., Wang H., Weiermann A., Ruzhansky M., Optimal image transport on sparse dictionaries. arxiv
  57. Jleli M., Ruzhansky M., Samet B., Torebek B., Semilinear wave inequalities and potential terms on Riemannian manifolds. arxiv
  58. Jleli M., Ruzhansky M., Samet B., Torebek B., Higher-order evolution inequalities with Hardy potential on the Koranyi ball. arxiv
  59. Karimov E., Murolimova N., Usmonov D., An initial-boundary value problem for a degenerate partial differential equation involving tempered Caputo fractional order derivative, (2023), http://dx.doi.org/10.13140/RG.2.2.17772.33925.
  60. Karimov E., Shaimardan S., Inverse problems for q-analogue of the heat equation, http://dx.doi.org/10.13140/RG.2.2.27790.02883
  61. Karimov E., Ruzhansky M., Shaimardan S., Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional q-derivative. arxiv
  62. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B., Liouville theorems for Kirchhoff-type hypoelliptic partial differential equations and systems. I. Heisenberg group. arxiv
  63. Kassymov A., Velasquez-Rodriguez J., Hardy inequalities on constant-order noncommutative Vilenkin groups, (2022). https://arxiv.org/abs/2208.03495.
  64. Kowacs A., Ruzhansky M., Vector valued Garding inequality for pseudo-differential operators on compact homogeneous manifolds. arxiv
  65. Kumar V., Mondal S., Ruzhansky M., Torebek B., Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case. arxiv
  66. Kumar P., Pusti S., Rana T., Singh M., Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type (2024). Arxiv
  67. Kumar V., Rana T., Ruzhansky M., Classical inequalities for all Fourier matrix coefficients of SL(2,ℝ) and their applications. arxiv
  68. Kumar V., Ruzhansky M., Titchmarsh theorems, Hausdorff-Young-Paley inequality and Lp-Lq boundedness of Fourier multipliers on harmonic NA groups. arxiv
  69. Kumar V., Ruzhansky M., Zhang H., Smoothing properties of dispersive equations on non-compact symmetric spaces. arxiv
  70. Kumar V., Ruzhansky M., Zhang H.-W., Stein-Weiss inequality on non-compact symmetric spaces. arxiv
  71. Kuznetsova Y., Song Z., Pointwise and uniform bounds for functions of the Laplacian on non-compact symmetric spaces, (2024). https://arxiv.org/abs/2409.02688
  72. Le V. C., Slodička M., Van Bockstal K., A numerical scheme for solving an induction heating problem with moving non-magnetic conductor, (2023). arXiv:2301.11744
  73. Lee G., Lein M,. A proof of $\mathfrak{L}^2$-boundedness for magnetic pseudodifferential super operators via matrix representations with respect to Parseval frames, (2024). https://arxiv.org/abs/2405.19964
  74. Rana T., Ruzhansky M., Lp-Lq Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type. arxiv
  75. Rodriguez Torijano C. A.., Ruzhansky M., Subelliptic wave equations with log-Lipschitz coefficients. arxiv
  76. Ruzhansky M., Sebih M. E., Tokmagambetov N., Heat equation with singular thermal conductivity. arxiv
  77. Ruzhansky M., Sebih M., Yeskermessuly A., Wave equations for the fractional Sturm-Liouville operator with singular coefficients. arxiv
  78. Ruzhansky M., Shaimardan S., Direct and inverse source problems for heat equation in quantum calculus. arxiv
  79. Ruzhansky M., Shaimardan S., Tokmagambetov N., Some estimates for Mittag-Leffler function in quantum calculus and applications. arxiv
  80. Ruzhansky M., Shaimardan S., Tulenov K., Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces. arxiv
  81. Ruzhansky M., Shaimardan S., Tulenov K., Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications. arxiv
  82. Ruzhansky M., Shaimardan S., Tulenov K., Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces. arxiv
  83. Ruzhansky M., Shaimerdenov Y., Yessirkegenov N., Cylindrical extensions of critical Sobolev type inequalities and identities. arxiv
  84. Ruzhansky M., Shriwastawa A., Tiwari B., Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups. arxiv
  85. Ruzhansky M., Shriwastawa A., Verma D., Bilinear Hardy inequalities on metric measure spaces. arxiv
  86. Ruzhansky M., Yeskermessuly A., Heat equation for Sturm-Liouville operator with singular propagation and potential. arxiv
  87. Ruzhansky M., Zeng K., Schatten classes on noncommutative tori: Kernel conditions. arxiv
  88. Serikbayev D., Ruzhansky M., Tokmagambetov N., Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation. arxiv
  89. Shaimardan S., Karimov E., Ruzhansky M., Mamanazarov A., The Prabhakar fractional q-integral and q-differential operators, and their properties. arxiv
  90. Torebek B. T., Blow-up results for the semilinear Schrödinger equations with forcing and gradient terms: the critical cases, (2024). https://doi.org/10.48550/arXiv.2412.08963
  91. Tobakhanov N. N., Torebek B. T., On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain, (2024). https://doi.org/10.48550/arXiv.2411.03983
Books/Editorials
  1. Ashyralyev A., Ruzhansky M., Sadybekov M. (Eds.) Analysis and Applied Mathematics. Extended Abstracts of the 2022 Joint Seminar, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+220pp. link
  2. Cardona D., Restrepo J., Ruzhansky M. (Eds.) Extended Abstracts 2021/2022. Methusalem Lectures, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. xi+268pp. link
  3. Chatzakou M., Restrepo J., Ruzhansky M., Torebek B., Van Bockstal K. (Eds.) Modern Problems in PDEs and Applications. Extended Abstracts of the 2023 GAP Center Summer School, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. viii+190pp. link
  4. Chatzakou M., Ruzhansky M., Stoeva D. (Eds.) Women in Analysis and PDE. Extended Abstracts of the 2023 GAP Center Summer School, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+310pp. link
  5. Jerbashian A.M., Restrepo J.E., Functions of Omega-Bounded Type: Basic Theory. Birkhäuser, Heidelberg, Germany, 2024. xvii+360pp https://link.springer.com/book/9783031498848
  6. Kumar V., Rottensteiner D., Ruzhansky M. (Eds.) Pseudo-Differential Operators and Related Topics. Extended Abstracts PSORT 2024, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+150pp. link
  7. Ruzhansky M., Torebek B. (Eds.) Extended Abstracts MWCAPDE 2023. Methusalem Workshop on Classical Analysis and Partial Differential Equations, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. xiv+235pp. link
  8. Ruzhansky M., Van Bockstal K. (Eds.) Extended Abstracts 2021/2022. Ghent Analysis and PDE Seminar, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+311pp. link

2019

  1. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., 479 (2019), 1519-1548.
  2. Altybay A., Ruzhansky M., Tokmagambetov N., Wave equation with distributional propagation speed and mass term: numerical simulations. Appl. Math. E-Notes, 19 (2019), 552-562.
  3. Bekbolat B., Kassymov A, Tokmagambetov N., Blow-up of Solutions of Nonlinear Heat Equation with Hypoelliptic Operators on Graded Lie Groups. Complex Analysis and Operator Theory, 13 (2019), 3347–3357.
  4. Cardona D. Lp-estimates for a Schrödinger equation associated with the harmonic oscillator. Electron. J. Differential Equations, Vol. (2019), No. 20, pp. 1-10. arXiv:1808.02906.
  5. Cardona D., Kumar V., L^p-boundedness and L^p-nuclearity of multilinear pseudo-differential operators on Z^n and the torusT^n, J. Fourier Anal. Appl. 25(6) (2019), 2973-3017. https://doi.org/10.1007/s00041-019-09689-7
  6. Cardona, D. On the index of pseudo-differential operators on compact Lie groups. J. Pseudo-Differ. Oper. Appl. Vol. 10 (2), 285-305 (2019), arXiv:1805.10404.
  7. Cardona, D. Pseudo-differential operators in Hölder spaces revisited. Weyl-Hörmander calculus and Ruzhansky-Turunen classes, Mediterr. J. Math. 16, no. 6. Art. 148, 17 pp. (2019). arXiv:1806.09245.
  8. Cardona, D., Kumar, V. Lp-boundedness and Lp-nuclearity of multilinear pseudo-differential operators on Zn and the torus Tn, J. Fourier Anal. Appl. Vol. 25 (6), 2973-3017, (2019). arXiv:1809.08380.
  9. Chatzakou M., Sarantopoulos Y., Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces, Dolomites Res. Notes on Approxim. 12 (2019), 1
  10. Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49.
  11. Darogomir S. S., Torebek B. T., Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 113:4 (2019), 3413-3423
  12. Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on compact Lie groups. J. Inst. Math. Jussieu, 18 (2019), 531–559.
  13. Huang, J., Ruzhanshy, M., Feng, H., Zheng, L., Huang, X., and Wang, H. Feature extraction for license plate location based on l 0-norm smoothing. Open Computer Science 9, 1 (2019), 128–135.
  14. Kalmenov T. Sh., Ruzhansky M., Suragan D., On spectral and boundary properties of the volume potential for the Helmholtz equation. Math. Model. Nat. Phenom., 14 (2019), no. 5, Art. 502, 11 pp.
  15. Karimov E.T., Toshtemirov B.H., Tricomi type problem with integral conjugation condition for a mixed type equation with the hyper-bessel fractional differential operator. Bulletin of the Institute of Mathematics, 4(2019), 9-14.
  16. Kassymov A., Ruzhansky M., Suragan D., Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30 (2019), 643-655.
  17. Kumar V., Orlicz Spaces and Amenability of Hypergroups, Bull. Iran. Math. Soc. (2019). https://doi.org/10.1007/s41980-019-00310-7
  18. Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Math. Scand., 125 (2019), 239-269.
  19. Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861.
  20. Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468.
  21. Munoz J. C., Ruzhansky M., Tokmagambetov N., Acoustic and shallow water wave propagations with irregular dissipation, Funct. Anal. Appl., 53 (2019), 153-156.
  22. Munoz J. C., Ruzhansky M., Tokmagambetov N., Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Math. Pures Appl., 123 (2019), 127-147.
  23. Oparnica Lj., Zorica D., Okuka A., Fractional Burgers wave equation Acta Mechanica, 230(12), 4321-4340, 2019. doi.org/10.1007/s00707-019-02500-0
  24. Ozawa T., Ruzhansky M., Suragan D., Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, Quart. J. Math., 70 (2019), 305-318
  25. Ruzhansky M., Sabitbek B., Suragan D., Weighted anisotropic Hardy and Rellich type inequalities for general vector fields. Nonlinear Differential Equations Applications NoDEA, 26, no. 2, 26:13 (2019)
  26. Ruzhansky M., Sabitbek B., Suragan D., Weighted 𝐿𝑝-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups. Revista Matemática Complutense, 32, 19-35 (2019)
  27. Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, J. Math. Anal. Appl., 473 (2019), 892-904.
  28. Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., 44 (2019), 1159-1174.
  29. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478.
  30. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478.
  31. Ruzhansky M., Tokmagambetov N., Torebek B. T., Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations, J. Inverse Ill-Posed Probl., 27:6 (2019), 891–911
  32. Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian, Appl. Comput. Math., 18 (2019), 69-78.
  33. Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad. Ser. A. Math. Sci., 95 (2019), 83-87.
  34. Ruzhansky M., Yessirkegenov N., New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. 2019.
  35. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, Proc. Amer. Math. Soc., 147 (2019), 1335-1349.

2020

  1. Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groups. Anal. Math. Phys., 10 (2020), no. 3, 33, 20pp.
  2. Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp.
  3. Alsaedi A., Kirane M., Torebek B. T., Blow-up of smooth solutions of the time-fractional Burgers equation, Quaest. Math., 43:2 (2020), 185-192
  4. Altybay A., Ruzhansky M., Tokmagambetov N., A parallel hybrid implementation of the 2D acoustic wave equation. Int. J. Nonlinear Sci. Numer. Simul., 21 (2020), 821-827.
  5. Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. Adv. Diff. Equations, 25 (2020), 627-650.
  6. Berdyshev A., Cabada A., Karimov E., On the existence of eigenvalues of a boundary value problem with transmitting condition of the integral form for a parabolic-hyperbolic equation. Mathematics, 8(2020), 1030: 13 pages; doi:10.3390/math8061030
  7. Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zn, J. Funct. Anal., 278 (2020), no. 11, 108473, 41pp.
  8. Cardona D., del Corral, C., Kumar V., Dixmier traces for discrete pseudo-differential operators, J. Pseudo-Differ. Oper. Appl. 11, 647-656 (2020). https://doi.org/10.1007/s11868-020-00335-1
  9. Cardona, D. Sharp estimates for the Schrödinger equation associated to the twisted Laplacian. Rep. Math. Phys. Vol. 85(1), 29-39, (2020). arXiv:1810.02940.
  10. Cardona, D., Kumar, V., Del Corral, C. Dixmier traces for discrete pseudo-differential operators. J. Pseudo-Differ. Oper. Appl. Vol. 11, 647-656, (2020). arXiv:1911.03924
  11. Chatzakou M., On (λ,μ)-classes in the Engel group, Georgiev V., Ozawa T., Ruzhansky M., Wirth J. (Eds) Advances in harmonic analysis and partial differential equations, Trends in Mathematics, (2020), 37–49. (doi.org/10.1007/978-3-030-58215-9.2).
  12. Dasgupta A., Kumar V., Hilbert-Schmidt and Trace class pseudo-differential operators on the abstract Heisenberg group, J. Math. Anal. Appl. 486(2) (2020), 123936. https://doi.org/10.1016/j.jmaa.2020.123936
  13. Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing functions, Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), 103-130.
  14. Garetto C., Jäh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis. J. Differential Equations, 269 (2020), 7881-7905
  15. Karimov E., Mamchuev M., Ruzhansky M., Non-local initial problem for second order time-fractional and space-singular equation. Hokkaido Mathematical Journal, 49(2020), 349-361.
  16. Karimov E.T., Frankl-type problem for a mixed type equation with the Caputo fractional derivative. Lobachevskii Journal of Mathematics, 9(2020), 1829-1836.
  17. Kassymov A., Ruzhansky M., Suragan D., Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NoDEA Nonlinear Differential Equations Appl., 27 (2020), no. 1, Paper No. 7
  18. Kassymov A., Tokmagambetov N., Torebek B. T., Nonexistence results for the hyperbolic-type equations on graded Lie groups, Bull. Malays. Math. Sci. Soc., 43:6 (2020), 4223–4243
  19. Kirilov A., De Moraes W., Ruzhansky M., Partial Fourier series on compact Lie groups. Bull. Sci. Math., 160 (2020), 102853.
  20. Kumar V., Mondal S. S., Nuclearity of operators related to finite measure spaces, J. Pseudo-Differ. Oper. Appl. 11, (2020), 1031–1058. https://doi.org/10.1007/s11868-020-00353-z
  21. Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math. (N.S.) 31(2) (2020), 266-276 https://doi.org/10.1016/j.indag.2020.01.004
  22. Kumar V., Shravan Kumar N., Sarma R., Characterization of Multipliers on Hypergroups. Acta Math Vietnam 45, 783–794 (2020). https://doi.org/10.1007/s40306-020-00379-x
  23. Mamaeva, S., Kononova, I., Ruzhansky, M., Nikiforov, P., Nikolaev, N., Pavlov, A., Fedorova, N., Huang, J., Semenova, M., Barashkova, D., et al. Using scanning electron microscopy and atomic force microscopy to study the formation of nanoparticles on red blood cell surface in cervical cancer patients. International Journal of Biomedicine 10, 1 (2020), 70–75.
  24. Oparnica Lj., Süli E., Well posedness of the fractional Zener wave equation for heterogeneous viscoelastic materials. Fractional Calculus and Applied Analysis. 23(1) (2020), 126-166. doi.org/10.1515/fca-2020-0005.
  25. Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. (L’oscillateur harmonique sur le group de Heisenberg.) C. R., Math., Acad. Sci. Paris, 358 (2020), 609 – 614.
  26. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bulletin of Mathematical Sciences, Vol. 10, No. 03, 2050016 (2020)
  27. Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-Laplacians. Banach Journal of Mathematical Analysis, 14, 380-398 (2020)
  28. Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Annals of Functional Analysis, 11(4), 1042-1061 (2020)
  29. Ruzhansky M., Suragan D., Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups, Potential Analysis, 53 (2020), 645-658.
  30. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum, 101 (2020), 162-191.
  31. Ruzhansky M., Tokmagambetov N., Torebek B. T., Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group, Integral Transforms Spec. Funct., 31:1 (2020), 1-9
  32. Ruzhansky M., Tokmagambetov N., Torebek B. T., On a non-local problem for a multi-term fractional diffusion-wave equation, Fract. Calc. Appl. Anal., 23:2 (2020), 324-355
  33. Ruzhansky M., Tokmagambetov N., Yessirkegenov N., Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations, Calc. Var. Partial Differential Equations, 59 (2020), no. 5, paper no. 175, 23pp.
  34. Ruzhansky M., Torebek B. T., Multidimensional Van der Corput-type estimates involving Mittag-Leffler functions, Fract. Calc. Appl. Anal., 23:6 (2020), 1663-1677
  35. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theory, 10 (2020), 1361-1411.
  36. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088.
  37. Serikbaev D. Inverse problem for fractional order pseudo-parabolic equation with involution. Ufa Mathematical Journal, 12:4 (2020), 119-135
  38. Tapdigoglu R., Torebek B. T., Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation, Turkish J. Math., 44:3 (2020), 960-969
  39. Velasquez-Rodriguez, J.P., Hörmander Classes of Pseudo-Differential Operators over the Compact Group of p-Adic Integers, P-Adic Num Ultrametr Anal. Appl. 12, (2020), 134–162. https://doi.org/10.1134/S2070046620020053
  40. Zorica D., Oparnica, Lj. Energy dissipation for hereditary and energy conservation for non-local fractional wave equations. Phil. Trans. R. Soc. A. 378 (2020), 20190295. doi.org/10.1098/rsta.2019.0295.

2021

  1. Ahmad B., Alsaedi A., Kirane M., Torebek B. T., Blowing-up solutions of the time-fractional dispersive equations, Adv. Nonlinear Anal., 10 (2021), 952-971
  2. Akbarbaglu I., Azimi, M. R., Kumar V., Topological transitive sequence of cosine operators on Orlicz space, Ann. Funct. Anal., 12(2), (2021). https://doi.org/10.1007/s43034-020-00088-4
  3. Al-Musalhi F., Karimov E.T., On self-similar solutions of time and space fractional sub-diffusion equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 11(2021), 16-27.
  4. Alsaedi A., Kirane M., Torebek B. T., Global existence and blow-up for space and time nonlocal reaction-diffusion equation, Quaest. Math., 44:5 (2021), 747-753
  5. Altybay A., Ruzhansky M., Sebih M. E., Tokmagambetov N., Fractional Klein-Gordon equation with singular mass. Chaos, Solitons and Fractals, 143 (2021) 110579.
  6. Altybay A., Ruzhansky M., Sebih M. E., Tokmagambetov N., Fractional Schrödinger Equations with potentials of higher-order singularities. Rep. Math. Phys., 87 (1) (2021), 129-144.
  7. Altybay A., Ruzhansky M., Sebih M. E., Tokmagambetov N., The heat equation with strongly singular potentials. Applied Mathematics and Computation, 399 (2021), 126006.
  8. Avetisyan Z., Grigoryan M., Ruzhansky M., Approximations in $L^1$ with convergent Fourier series, Mathematische Zeitschrift, 299 (2021), 1907-1927.
  9. Bekbolat B., Tokmagambetov N., Well-posedness results for the wave equation generated by the Bessel operator. Bulletin of the Karaganda University. Mathematics Series, 101(2021), 11–16.
  10. Borikhanov M., Torebek B. T., Local and blowing-up solutions for an integro-differential diffusion equation and system, Chaos Solitons Fractals, 148 (2021), 1-18.
  11. Borikhanov M., Torebek B. T., Local existence and global nonexistence results for the integro-differential diffusion system with nonlocal nonlinearity, Math. Methods Appl. Sci., 44:2 (2021), 1796-1811
  12. Bramati R., A note on a Capelli operator and its resonance, (2023) Extended abstracts 2021/2022, Research perspectives Ghent Analysis and PDE Center 2, to appear.
  13. Cardona, D. The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds, to appear in, Analysis, Applications, and Computation, Proceedings of the 13th ISAAC Congress, Ghent, Belgium, 2021.
  14. Cardona, D., Delgado, J., Ruzhansky, M. Lp-bounds for pseudo-differential operators on graded Lie groups. J. Geom. Anal. Vol. 31, 11603-11647, (2021). arXiv:1911.03397.
  15. Cardona, D., Esquivel, L. On the Benjamin Ono equation in the half line, Nonlinear Analysis. Vol. 212, (2021), Art. 112427. arXiv:2101.06992.
  16. Cardona, D., Esquivel, L. Sharp Strichartz estimates for the Schrödinger equation on the sphere. J. Pseudo-Differ. Oper. Appl. Vol. 12, 23 (2021). arXiv:2006.08165.
  17. Cardona, D., Kumar, V. The nuclear trace of vector-valued pseudo-differential operators with applications to Index theory. Math. Nachr. Vol. 294(9), 1657-1683, (2021). arXiv:1901.10010
  18. Cardona, D., Messiouene, R., Senoussaoui, A. Periodic Fourier integral operators in Lp spaces. C. R. Math. Acad. Sci. Paris. Vol. 359 (5), (2021), 547-553.
  19. Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators., J. Math. Pures Appl., 153 (2021), 1-29.(doi: 10.1016/j.matpur.2021.07.006).
  20. Chatzakou M., Quantizations on the Engel and Cartan groups, J. Lie Theory 31 (2021), no. 2, 517–542.
  21. Chatzakou M., Ruzhansky M., and Tokmagambetov, N., Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case., Karapetyants A. N., Kravchenko V.V., Porter R.M., Torba S.M. (Eds.), Complex Var. Elliptic Equ., 67 (2022), 615-632. doi: 10.1080/17476933.2021.195014
  22. Chatzakou M., Sarantopoulos Y., Estimates for polynomial norms on Banach spaces, Dolomites Res. Notes Approx., 14 (2021) 40–52.
  23. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality. J. Fourier Anal. Appl., 27:15 (2021), 29pp.
  24. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, Colloq. Math., 165 (2021), 1-30.
  25. Fischer V., Ruzhansky M., Taranto C., Subelliptic Gevrey spaces. Math. Nachr., 294 (2021), 265-285.
  26. Gordi ́c S., Levajković T., Oparnica Lj., Stochastic parabolic equations with singular potentials. Chaos,Solitons and Fractals, Vol. 151, (2021), 111245. doi.org/10.1016/j.chaos.2021.111245.
  27. Karimov E. T., Sobirov Z. A., Khujakulov J. R., Solvability of a problem for a time fractional differential equation with the Hilfer operator on metric graphs. Bull. Inst. Math., 4(2021), 9-18.
  28. Karimov E., Tokmagambetov N., Khasanov Sh., Inverse problems for time-fractional mixed equation involving the Caputo fractional derivative, accepted to M. Ruzhansky, K. Van Bockstal (eds.), Extended Abstracts 2021/2022, Research Perspectives Ghent Analysis and PDE Center 2, https://doi.org/10.1007/978-3-031-42539-4_20
  29. Karimov E., Tokmagambetov N., Toshpulatov M., On a mixed equation involving Prabhakar fractional order integral-differential operators, accepted to M. Ruzhansky, K. Van Bockstal (eds.), Extended Abstracts 2021/2022, Research Perspectives Ghent Analysis and PDE Center 2, https://doi.org/10.1007/978-3-031-42539-4_25
  30. Karimov E.T., Toshtemirov B.H., Non-local boundary value problem for a mixed-type equation involving the bi-ordinal Hilfer fractional differential operators. Uzbek Mathematical Journal, 65(2021), pp.61-77.
  31. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B. T., Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems, (2021). https://doi.org/10.48550/arXiv.2110.01082
  32. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B. T., Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for the fractional derivatives, Banach J. Math. Anal., 15:1 (2021), 1-24.
  33. Kassymov A., Torebek B. T., Lyapunov-type inequalities for a nonlinear fractional boundary value problem, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 115 (2021), 1-10.
  34. Kirane M., Torebek B. T., Maximum principle for space and time-space fractional partial differential equations, Z. Anal. Anwend., 40:3 (2021), 277-301.
  35. Kirilov A., De Moraes W., Ruzhansky M., Global hypoellipticity and global solvability for vector fields on compact Lie groups. J. Funct. Anal., 280 (2021), 108806. 39pp.
  36. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. Z. Anal. Anwend., 40 (2021), 425-451.
  37. Kumar V., Ruzhansky M., A note on K-functional, Modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces, J. Approx. Theory, 264, (2021), 105537. DOI: https://doi.org/10.1016/j.jat.2020.105537
  38. Kumar V., Mondal S. S., Self-adjointness and compactness of operators related to finite measure spaces, Complex Anal. Oper. Theory, 15( 22) (2021). https://doi.org/10.1007/s11785-020-01067-2
  39. Kumar V., Mondal S. S., Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups, Bulletin des Sciences Mathématiques,171, (2021), 103015. https://doi.org/10.1016/j.bulsci.2021.103015
  40. Kumar V., Sarma R., Continuity of operators intertwining with translation operators on hypergroups. Aequat. Math. 95, (2021), 343-349. https://doi.org/10.1007/s00010-020-00745-y
  41. Kumar V., Tabatabaie S. M., Hypercyclic Sequences of weighted translations on hypergroups, Semigroup Forum, 103, (2021), 916–934. DOI:https://doi.org/10.1007/s00233-021-10226-6
  42. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. Journal of Convex Analysis. 28, (2021)
  43. Ruzhansky M., Sabitbek B., Suragan D., Principal frequency of p-versions of sub Laplacian for general vector fields. Zeitschrift für Analysis und ihre Anwendungen, 40, no. 1, 97–109, (2021)
  44. Ruzhansky M., Taranto C., Time-dependent wave equations on graded groups, Acta Appl. Math., 171 (2021), 21. 24pp.
  45. Ruzhansky M., Torebek B. T., Van der Corput lemmas for Mittag-Leffler functions. II. α-directions, Bull. Sci. Math., 171 (2021), 103016
  46. Ruzhansky M., Velasquez-Rodriguez J. P., Non-harmonic Gohberg’s lemma, Gershgorin theory and heat equation on manifolds with boundary. Math. Nachr., 294 (2021), 1783-1820.
  47. Ruzhansky M., Verma D., Hardy Inequalities on metric measure spaces, II:the case p>q, Proceedings of Royal Society A (2021) 20210136
  48. Suragan D., Yessirkegenov N., Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications, Adv. Oper. Theory, 6 (2021), Art.No. 53.
  49. Tapdigoglu R., Torebek B. T., Commutant and uniqueness of solutions of Duhamel equations, Bull. Malays. Math. Sci. Soc., 44:2 (2021), 705-710
  50. Zhang H.-W., Wave equation on certain noncompact symmetric spaces, Pure Appl. Anal., 3 (2021), 363-386.

2022

  1. Abilassan, A., Restrepo, J.E., Suragan, D., On a variant of multivariate Mittag-Leffler’s function arising in the Laplace transform method, Integr. Transf. Spec. F., 34(3), (2022), 244—260.
  2. Akylzhanov R., Kuznetsova Yu., Ruzhansky M., Zhang H., Norms of certain functions of a distinguished Laplacian on the ax+b groups. Math. Z., 302 (2022), 2327-2351.
  3. Al-Salti N., Karimov E.T., Inverse source problems for degenerate time-fractional PDE. Progr.Fract.Differ.Appl. 8(2022), 39-52.
  4. Ali I, Malghani YAK, Hussain SM, Khan N, Ro J-S. Generalization of k-Uniformly Starlike and Convex Functions Using q-Difference Operator. Fractal and Fractional. 216 (2022); 6(4): https://doi.org/10.3390/fractalfract6040216
  5. Anker J.-P., Zhang H.-W., Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces, Geom. Dedicata, 216 (2022).
  6. Bagheri Salec A. R., Kumar V., Tabatabaie S. M., Convolution Properties of Orlicz Spaces on hypergroups, Proc. Amer. Math. Soc. 150 (2022), 1685-1696. DOI: https://doi.org/10.1090/proc/15799
  7. Bédos, E., Enstad, U., van Velthoven, J.T. Smooth lattice orbits of nilpotent groups and strict comparison of projections. J. Funct. Anal. 283, No. 6 (2022), Article ID 109572, 48p.
  8. Bin-Saad M. G., Hasanov A., Ruzhansky M., Some properties relating to the Mittag–Leffler function of two variables. Integral Transforms and Special Functions. 2022, 33(5), pp. 400–418
  9. Blommaert R., Lazendic S., Oparnica Lj., The Euler-Bernoulli equation with distributional coefficients and forces. Computers & Mathematics with Applications 123 (2022), 171-183. doi.org/10.1016/j.camwa.2022.08.011.
  10. Borikhanov M., Torebek B. T., Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation, Appl. Math. Lett., 134 (2022), 108366
  11. Broucke F., Oparnica Lj., Micro-local and qualitative analysis of the fractional Zener wave equation. J. Differ. Equ. 321 (2022), 217–257. doi.org10.1016 j.jde.2022.03.006
  12. Cardona, D. Ruzhansky, M. Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups, Math. Z. 302, 1957–1981 (2022)
  13. Cardona, D., Delgado, J., Ruzhansky, M. Determinants and Plemelj-Smithies formulas, Monatsh. Math., Vol. (199), 459–482, (2022). arXiv:2012.13216.
  14. Cardona, D., Delgado, J., Ruzhansky, M. Drift diffusion equations with fractional diffusion on compact Lie groups. J. Evol. Equ. No. 22, Vol. 84, (2022).
  15. Cardona, D., Ruzhansky, M. Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups, Collect. Math. Vol. 73, 477–504, (2022).
  16. Cardona, D., Ruzhansky, M. Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators, Vol. 119, 189–198 (2022). Arch. Math.
  17. Chatzakou M., A note on spectral multipliers on the Engel and Cartan groups, Proc. Amer. Math. Soc., 150 (2022), no. 5, 2259–2270. doi: 10.1090/proc/15830.
  18. Chatzakou M., Delgado J.,Ruzhansky M., On a class of anharmonic oscillators II. General case, Bull. Sci. Math., 180 (2022), 103196. doi: 10.1016/j.bulsci.2022.103196.
  19. Chatzakou M., Kumar V., Lp-Lq boundedness of spectral multipliers of the anharmonic oscillator, C. R. Acad. Sci. Paris, 360 (2022), 343–347. doi: 10.5802/crmath.290.
  20. Chatzakou M., Ruzhansky M., Tokmagambetov N., Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case, Rep. Math. Phys., 89 (2022), 59-79. doi: 10.1016/S0034-4877(22)00010-6.
  21. Chatzakou M., Ruzhansky M., Tokmagambetov N., The heat equation with singular potentials. II: Hypoelliptic case., Acta Appl. Math., (2022), 179:2. doi:10.1007/s10440-022-00487-w.
  22. Dasgupta A., Kumar V., Ellipticity and Fredholmness of pseudo-differential operators on l^2(Z^n), Proc. Amer. Math. Soc. 150 (7), (2022), 2849–2860. 10.1090/proc/15661
  23. Dasgupta A., Ruzhansky M., Tushir A., Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation (2022), arXiv:2205.05360
  24. Dasgupta A., Ruzhansky M., Tushir A., Discrete time-dependent wave equations I. Semiclassical analysis. J. Differential Equations, 317 (2022), 89-120.
  25. Fernandez, A., Restrepo, J.E., Suragan, D., On linear fractional differential equations with variable coefficients, Appl. Math. Comput., 432, #127370, (2022).
  26. Fernandez, A., Restrepo, J.E., Suragan, D., Prabhakar-type linear differential equations with variable coefficients, Differ. Integral Equ., 35(9/10), (2022), 581-610.
  27. Hasanov A., Djuraev N., Exact Solutions of the Thin Beam with Degrading Hysteresis Behavior. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 3, pp. 577–584.
  28. Hasanov A., Ruzhansky M., Systems of differential equations of Gaussian hypergeometric functions in three variables and their linearly-independent solutions. Bulletin of the Institute of Mathematics 2022, Vol. 5, 3, pp.50-142
  29. Hasanov A., Ryskan A., Choi. J., Decomposition Formulas for Second-Order Quadruple Gaussian Hypergeometric Series by Means of Operators H(α,β) and H(α,β). Montes Taurus J. Pure Appl. Math. 4 (3), 41–60, 2022. https://mtjpamjournal.com/papers/article_id_mtjpam-d-21-00019/
  30. Hasanov A., Yuldashev A. K., Analytic Continuation Formulas for the Hypergeometric Functions in Three Variables of Second Order. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 5, pp. 1134–1141
  31. Hasanov A., Yuldashev T. K., Exact Solutions for a Partial System of Second-Order Hypergeometric Equations and Some Decomposition Formulas. Lobachevskii Journal of Mathematics, 2022, Vol. 43, No. 11, pp. 3142–3150
  32. Hendrickx A., $L^p$-$L^q$ boundedness of Fourier multipliers on fundamental domains of lattices in $\mathbb{R}^d$. J. Fourier Anal. Appl., 28 (2022), 60.
  33. Huang, J., Ruzhansky, M., Zhang, Q., and Wang, H. Intrinsic image transfer for illumination manipulation. IEEE Transactions on Pattern Analysis and Machine Intelligence 45, 6 (2022), 7444–7456.
  34. Karimov E., Ruzhansky M. and Tokmagambetov N., Cauchy type problems for fractional differential equations. Integral Transforms and Special Functions, 33 (2022), 47-64.
  35. Karimov E., Ruzhansky M., Toshtemirov B. Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. Mathematical Methods in the Applied Sciences. 2022. Vol. -P. 1-17.
  36. Karimov E., Toshtemirov B. On a time-nonlocal boundary value problem for time-fractional partial differential equation. International Journal of Applied Mathematics. 2022. Vol. 35(3). P. 423-438.
  37. Kassymov A., Kirane M., Torebek B. T., Lyapunov, Hartman-Wintner and de La Vallée Poussin-type inequalities for fractional elliptic boundary value problems, Complex Var. Elliptic Equ., 67:1 (2022), 246-258
  38. Kassymov A., Tokmagambetov N., Torebek B. T., Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents, Publ. Math. Debrecen, 100:3-4 (2022), 295-321
  39. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms. Comm. Pure Appl. Anal., 21 (2022), 3919-3940.
  40. Kumar V., Mondal S. S., $L^2-L^p$ estimates and Hilbert-Schmidt pseudo differential operators on Heisenberg motion groups, Appl. Anal. (2022). https://doi.org/10.1080/00036811.2022.2078717
  41. Kumar V., Mondal S. S., Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups, Monatsh. Math. 197 (2022), no. 1, 149–176. DOI https://doi.org/10.1007/s00605-021-01663-0 https://arxiv.org/abs/1911.10554
  42. Kumar V., Ruzhansky M., Hardy-Littlewood inequality and $L^p$-$L^q$ Fourier multipliers on compact hypergroups, J. Lie theory 32(2) (2022), 475-498. https://www.heldermann.de/JLT/JLT32/JLT322/jlt32023.htm
  43. Oralsyn G., Sabitbek B., Blow-up theorems for p-sub-Laplacian Heat operators on stratified groups. Complex Analysis and Operator Theory, 16, 99 (2022)
  44. Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg group. J. Math. Physics., 63 (2022), 23 p.
  45. Ruzhansky M., Safarov A. R., Khasanov G. A., Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4. Analysis and Mathematical Physics.-USA, 2022. Vol. 12.-No 130.-P.1-15.
  46. Ruzhansky M., Sabitbek B., Torebek B., Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation. I. Stratified Groups. Manuscripta Math., (2022).
  47. Ruzhansky M., Serikbaev D., Tokmagambetov N., Torebek B. T., Direct and Inverse problems for time-fractional pseudo-parabolic equations, Quaest. Math., 45:7 (2022), 1071-1089
  48. Ruzhansky M., Torebek B. T., Turmetov B. K., Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems, J. Integral Equations Appl., 34:3 (2022), 373-387
  49. Ruzhansky M., Yessirkegenov N., A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Nonlinear Analysis, 215 (2022), Paper No. 112621.
  50. Ruzhansky M., Yessirkegenov N., Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states. Commun. Contemp. Math., 24 (2022), 2150061.
  51. Ruzhansky M., Yessirkegenov N., Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups. J. Differential Equations, 308 (2022), 455-473.
  52. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature. J. Math. Anal. Appl., 507 (2022), 125795.
  53. Sadybekov M., Dukenbayeva A., On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball. Complex Var. Elliptic Equ., 67 (2022), 369-383.
  54. Safarov A. R., Estimates for Mittag-Leffler Functions with Smooth Phase Depending on Two Variables J. Sib. Fed. Univ. Math. Phys.Russia, 2022. Vol. 15. No 4.-P.459-466.
  55. Toshtemirov B., On solvability of the non-local problem for the fractional mixed-type equation with Bessel operator. Fractional Differential Calculus. 2022. Vol. 12(1). -P. 63–76.
  56. van Velthoven, J.T. Completeness of coherent state subsystems for nilpotent Lie groups. C.R. Math. Acad. Sci. Paris. 360 (2022), 799-808.
  57. van Velthoven, J.T. Integrability properties of quasi-regular representations of NA groups. C.R. Math. Acad. Sci. Paris. 360 (2022), 1125-1134.
  58. Velicu A., Yessirkegenov N., Rellich, Gagliardo-Nirenberg, Trudinger and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications, Isr. J. Math., 247 (2022), 741–782.

2023

  1. Abolarinwa A., Weighted Hardy and Rellich Types Inequalities on the Heisenberg Group with Sharp Constants. J Nonlinear Math Phys 30, (2023) 677–698.
  2. Al-Salti N., Karimov E. & Kerbal S., A boundary problem for the time-fractional Hallaire–Luikov moisture transfer equation with Hilfer derivative. Comp. Appl. Math. 42, 94 (2023). https://doi.org/10.1007/s40314-023-02231-y
  3. Ali I, On q2-analogue of the one-dimensional non-homogeneous heat equation, (2023) Extended Abstracts MWCAPDE 2023: Methusalem Workshop on Classical Analysis and Partial Differential Equations, to appear.
  4. Anker J.-P., Meda S., Pierfelice V., Vallarino M., Zhang H.-W., Schrödinger equation on non-compact symmetric spaces, J. Differential Equations, 356 (2023), 163-187.
  5. Anker J.-P., Papageorgiou E., Zhang H.-W., Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces, J. Funct. Anal., 284 (2023).
  6. Anker J.-P., Zhang H.W., Wave equation on general noncompact symmetric spaces, (2023) Amer. J. Math., to appear. https://doi.org/10.48550/arXiv.2010.08467
  7. Arzikulov Z.O., Ergashev T.G. Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. Lobachevskii Journal of Mathematics, 2023. In print.
  8. Baishemirov Z., Berdyshev A., Hasanov A., Fundamental solutions of a class of degenerate elliptic equation. Mathematical Methods in the Applied Sciences. 2023;1–7. First published: 27 March 2023 https://doi.org/10.1002/mma.9236.
  9. Bekbolat B., Serikbaev D., Tokmagambetov N., Direct and inverse problems for time-fractional heat equation generated by Dunkl operator. Journal of Inverse and Ill-Posed Problems, 31 (2023), 393–408.
  10. Bhardwaj A. K., Kumar V., Mondal S. S., Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups. Proc. Roy. Soc. Edinburgh Sect. A. (2023). https://doi.org/10.1017/prm.2023.38
  11. Bin-SAAD M. G., Younis J. A., Hasanov A., Some mathematical properties for marginal model of poisson-gamma distribution. Kragujevac Journal of Mathematics. Vol. 47(1) (2023), Pages 105–118.
  12. Borikhanov M., Ruzhansky M., Torebek B. T., Qualitative properties of solutions to the nonlinear time-space fractional diffusion equation, Fract. Calc. Appl. Anal., 26:1 (2023), 111-146
  13. Borikhanov M., Torebek B. T., On an inhomogeneous exterior Robin problems with critical nonlinearities, (2023). J. Differential Equations, to appear. https://doi.org/10.48550/arXiv.2303.14563
  14. Bramati R., Pasquale A., Przebinda T., The resonances of the Capelli operators for small split orthosymplectic dual pairs, J. Lie Theory, 33 (2023), no. 1, 93-132.
  15. Broucke F., Oparnica Lj., Distributed-order time-fractional wave equations, Z. Angew. Math. Phys. 74, 19 (2023). doi.org/10.1007/s00033-022-01899-2.
  16. Buchukuri T., Duduchava R., Tephnadze G., Γ-convergence for the bi-Laplace-Beltrami equation on hypersurfaces, (2023), to appear in, Research Perspectives Ghent Analysis and PDE Center”, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 1-8
  17. Cardona A., Gómez Cobos S., The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces, (2023) Extended Abstracts MWCAPDE 2023: Methusalem Workshop on Classical Analysis and Partial Differential Equations, to appear.
  18. Cardona D., Delgado J., Grajales, B., Ruzhansky M. Control of the Cauchy problem on Hilbert spaces: a global approach via symbol criteria, to appear in Commun. Pure Appl. Anal., arXiv:2301.08999.
  19. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov, N., Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary, Adv, Oper. Theory, 8(50), (2023). https://doi.org/10.1007/s43036-023-00254-0 (Open access).
  20. Cardona, D. Ruzhansky, M. Oscillating singular integral operators on compact Lie groups revisited, Math. Z. Vol. 303, 26 (2023) arXiv:2202.10531.
  21. Cardona, D., Ruzhansky, M. Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups, to appear in MSJ Memoirs, Math. Soc. Japan, arXiv:2008.09651.
  22. Cardona, D, Ruzhansky, M. Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups, to appear in Potential Analysis, arXiv:1610.04701.
  23. Cardona, D. Messiouene, R., Senoussaoui, A. Lp-bounds for Fourier integral operators on the torus, to appear in Complex Var. Elliptic Equ. arXiv:1807.09892.
  24. Cardona, D., Restrepo, J., Ruzhansky, M. Extended Abstracts 2021/2022. Birkhäuser Cham, (2023)
  25. Chatzakou M., Dasgupta A., Ruzhansky M., Tushir A., Discrete heat equation with irregular thermal conductivity and tempered distributional data. Proc. Roy. Soc. Edinburgh Sect. A, (2023) 1-24., to appear. doi:10.1017/prm.2023.84
  26. Chatzakou M., Kumar V., Lp-Lq boundedness of Fourier multipliers associated with the anharmonic oscillator, J. Fourier Anal. Appl., 29 (73) (2023).
  27. Dasgupta A., Kumar V., Mondal S. S., Nonlinear fractional dumped wave equations on compact Lie groups, Asymptot. Anal. (2023). https://doi.org/10.3233/ASY-231842
  28. Dosmagulova, K., Kanguzhin, B., Fazullin, Z., Spectrum of a Perturbed Harmonic Oscillator. Applied Mathematics and Information Sciences, 17(4) (2023), 553–557.
  29. Dosmagulova, K., Kanguzhin, B., On Green’s function of the perturbed Laplace-Beltrami operator with a finite number of punctured points on the two-dimensional sphere, (2023) Trends in Mathematics, The volume “Women in Analysis and PDE”.
  30. Duduchava R., Laplace-Beltrami equation on Lipschitz hypersurfaces in the generic Bessel Potential spaces, (2023), to appear in, Research Perspectives Ghent Analysis and PDE Center”, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 1-8
  31. Duduchava R., Tsaava M., Tutberidze M., Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain, (2023), to appear in, Research Perspectives Ghent Analysis and PDE Center”, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 1-8
  32. Fernandez, A., Restrepo, J.E., Suragan, D., A new representation for the solutions of fractional differential equations with variable coefficients, Mediterr. J. Math., 20(27), (2023).
  33. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory, (2023) J. Lie Theory, to appear. https://arxiv.org/abs/1812.07876
  34. Ghosh S., Kumar V., Ruzhansky M., Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups, (2023), Math. Ann., to appear. DOI: 10.1007/s00208-023-02609-7.
  35. Grigor’yan, A., Papageorgiou, E., Zhang, H.-W., Asymptotic behavior of the heat semigroup on certain Riemannian manifolds, (2023) “From Classical Analysis to Analysis on Fractals – The Robert Strichartz Memorial Volume”, Springer, to appear. https://doi.org/10.48550/arXiv.2205.06105
  36. Hasanov A., Ergashev T. G., Infinite Summation Formulas for Triple Lauricella Hypergeometric Functions. Journal of Mathematical Sciences, Vol. 274, No. 2, 215-227, 2023. DOI 10.1007/s10958-023-06590
  37. Hasanov A., Vahobov V., Generalized Hypergeometric Function and its Applications to Solving the Equation of a Beam with Variable Height by the Kelvin-Voight Model. AIP Conference Proceedings 2781, 020061, JUNE 08 2023. https://doi.org/10.1063/5.0145648
  38. Hasanov A., Ergashev T., The infinite summation formulas of multiple Lauricella functions. Abstracts of the VII World Congress of Turkic World Mathematicians (TWMS Congress – 2023), September, 20-23, 2023, Turkestan, Kazakhstan. P. 174.
  39. Hasanov A., Ergashev T.G., Yuldashev T.K. Euler type integral representations for the Kamp´e de F´eriet functions. Transactions of the institute Mathematics and Mechanics of Azerbaijan Academy of Sciences – Mathematics (November, 2023); In print
  40. Hasanov A., Ergashev T.G., Yuldashev T.K. Multiple Euler type integral representations for the Kamp´e de F´eriet functions. Челябинский физ.-мат. журнал (№4, 2023). In print
  41. Hendy A. S., Zaky M. A., Van Bockstal K., Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations. Nonlinear Dynamics, 111 (2023), 3525-3537.
  42. Hong Q., Hu G., Ruzhansky M., Fourier multipliers for Hardy spaces on graded Lie groups. Proc. Royal Soc. Edinburgh, 153 (2023), 1729-1750.
  43. Huang, J., Wang, H., Wang, X., and Ruzhansky, M. Semi-sparsity for smoothing filters. IEEE Transactions on Image Processing 32 (2023),1627–16
  44. Kanguzhin, B., Dosmagulova, K., Uniquely solvable problems for the Laplace-Beltrami operator on a sphere punctured by a curve. Results in Nonlinear Analysis, 6(3) (2023), 43-49.
  45. Kanguzhin, B., Dosmagulova, K., Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere. Advances in the Theory of Nonlinear Analysis and its Applications, 7(2) (2023), 428–440.
  46. Karimov E. T., Ruzhansky M., Toshtemirov B. H., Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. Math. Meth. Appl. Sci., 46(2023), 54-70.
  47. Karimov E.T., Hasanov A., On a boundary-value problem in a bounded domain for a time- fractional diffusion equation with the Prabhakar fractional derivative. Bulletin of the Karaganda University. Mathematics Series, 111(2023), 39-46.
  48. Kashkynbayev A., Suragan D., Torebek B. T., Fisher-KPP Equation on the Heisenberg group, Math. Nachr., 296:6 (2023), 2395-2403
  49. Kassymov A., Ragusa M. A., Ruzhansky M, Suragan D., Stein-Weiss-Adams inequality on Morrey spaces. J. Funct. Anal., 285 (2023), no. 11, Paper No. 110152.
  50. Kassymov A., Ruzhansky M., Suragan D., Hardy inequalities on metric measure spaces, III: The case q<=p<0 and applications. Proc. R. Soc. A, 479 (2023), no. 2269, Paper No. 307, 16pp.
  51. Kassymov A., Ruzhansky M., Suragan D., Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems. Potential Analysis, 59 (2023), 1971-1994. doi (open access), arxiv
  52. Kassymov A., Ruzhansky M., Torebek B. T., Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems, Mediterr. J. Math., 20:3 (2023), 119
  53. Koppensteiner, S., van Velthoven, J.T., Voigtlaender, F. Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I. Monatsh. Math. 201, No. 2 (2023), 375-429.
  54. Kumar V., Mondal, S. S., Symbolic calculus and $M$-ellipticity of pseudo-differential operators on Z^n, (2023), Anal. Appl. (Singap.), to appear. https://doi.org/10.1142/S0219530523500215
  55. Kumar V., Ruzhansky M., $L^p$-$L^q$ boundedness of (k, a)-Fourier multipliers with applications to nonlinear equations, Int. Math. Res. Not. IMRN, no. 2, (2023) 1073-1093. DOI 10.1093/imrn/rnab256 (Open Access).
  56. Kumar V., Ruzhansky M., $L^p$-$L^q$ multipliers on commutative hypergroups, (2023), J. Aust. Math. Soc., to appear. https://arxiv.org/abs/2108.01146
  57. Lee G., Logarithmic Sobolev inequalities of fractional order on noncommutative tori, (2023), Extended Abstracts 2021/2022 Ghent Analysis and PDE Seminar, Trends in Mathematics Series, Birkhäuser/Springer, 2023. pp. 69-78
  58. Maes F., Van Bockstal K., Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation. Fractional Calculus and Applied Analysis. 26 (2023), 1663-1690.
  59. Mityushev, V., Gric, T., Zhunussova, Z., Dosmagulova, K., An asymptotic homogenization formula for complex permittivity and its application. Advances in the Theory of Nonlinear Analysis and its Applications, 7(1) (2023), 243-252.
  60. Restrepo J., Ruzhansky M., Suragan D., Generalized fractional Dirac type operators. Fract. Calc. Appl. Anal., 26 (2023), 2720-2756. doi, arxiv
  61. Rottensteiner D., Ruzhansky M., An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups. Arch. Math., 120 (2023), 507 – 520.
  62. Ruzhansky M., B. Sabitbek, Torebek B. T., Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups, Manuscripta Math., 171:3-4 (2023), 377-395
  63. Ruzhansky M., Sabitbek B., Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. European Journal of Mathematics, 9, 61, (2023)
  64. Ruzhansky M., Sebih M. E., Tokmagambetov N., Schrödinger equation with singular position dependent mass. Z. Anal. Anwend., 42 (2023), no. 1/2, pp. 131–144.
  65. Ruzhansky M., Torebek B. T. (Eds.), Extended Abstracts MWCAPDE 2023, Trends in Mathematics (TM, volume 1), Research Perspectives Ghent Analysis and PDE Center. 173pp. https://link.springer.com/book/9783031416644
  66. Ruzhansky, M., Shaimardan, S., Yeskermessuly, A., Wave equation for Sturm-Liouville operator with singular potentials. Journal of Mathematical Analysis and Applications, Volume 531, Issue 1, Part 2, (2024), https://doi.org/10.1016/j.jmaa.2023.127783.
  67. Ruzhansky, M., Yeskermessuly, A., Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential. Bulletin of the Malaysian Mathematical Sciences Society (BMMS), (2023). arXiv:2210.02789
  68. Sabitbek B., Torebek B. T., Global existence and blow-up of solutions to the nonlinear porous medium equation, (2023). Discrete Contin. Dyn. Syst. A, to appear. https://doi.org/10.48550/arXiv.2104.06896
  69. Shriwastawa, A., A note on Hardy inequality in metric measure space for the case p = 1 (2023). (contributed for the volume Women in Analysis and PDE ).
  70. Smadiyeva A. G., Torebek B. T., Decay estimates for the time-fractional evolution equations with time-dependent coefficients, Proc. A., 479:2276 (2023), 20230103
  71. Torebek B. T., Critical exponents for the p-Laplace heat equations with combined nonlinearities, (2023). J. Evol. Equ., to appear. https://doi.org/10.48550/arXiv.2212.14332
  72. Torebek B. T., Sub-diffusion equations with Mittag-Leffler nonlinearity, Discrete Contin. Dyn. Syst. S, 16:6 (2023), 1669-1685
  73. Van Bockstal K., Zaky M. A., Hendy A. S., On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations, (2023) Fractional Calculus and Applied Analysis, to appear. https://doi.org/10.1007/s13540-023-00184-x
  74. Velasquez-Rodriguez J., Titchmarsh theorems for Hölder-Lipschitz functions on profinite groups, J Anal (2023).
  75. Toshtemirov, B. Direct and inverse source problem for 2D Landau Hamiltonian operator Georgian Mathematical Journal, 2023. https://doi.org/10.1515/gmj-2023-2059
  76. Wang X., Huang J., Chatzakou M., Medijainen K., Taba P., Toomela A., Nõmm S., Ruzhansky M., A Light-weight CNN Model for Efficient Parkinson’s Disease Diagnostics, 2023 IEEE 36th International Symposium on Computer-Based Medical Systems (CBMS), L’Aquila, Italy (2023), 616–621. doi: 10.1109/CBMS58004.2023.00289
  77. Younis J. A., Hasanov A., El Salam M. A. A., Certain decomposition formulas for hypergeometric Gaussian functions in three variables. Palestine Journal of Mathematics. Vol. 12(1)(2023) , 101–110.
  78. Zari, I., Gul, T., Dosmagulova, K., Saee, T., Haq, S., Heat transfer analysis of Radiative-Marangoni Convective flow in nanofluid comprising Lorentz forces and porosity effects. Advances in the Theory of Nonlinear Analysis and its Applications, 7(1) (2023), 61-81
  79. Zhang R., Kumar V., Ruzhansky M., Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian. Acta Appl. Math., 188 (2023), no 1, paper 16. doi, arxiv

2024

  1. Abolarinwa A., Ruzhansky M., Generalised Hardy type and Rellich type inequalities on the Heisenberg group. J. Pseudo-Differ. Oper. Appl., 15 (2024), no 1., 3. doi, arxiv
  2. Ahmad A., Manzoor R., Ali I., Kalsoom S., Azhar N., Jamil N., Behlil F., Numerical study of flow behind the TODs in side-by-side arrangement through lattice Boltzmann method, Kurdish Stud., 12(5) (2024), 897-915. DOI: 10.53555/ks.v12i5.3373.
  3. Arzikulov Z.O., Ergashev T.G. Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. Lobachevskii Journal of Mathematics, 45(2)(2024), 591-603.
  4. Avetisyan Zh., Ruzhansky M., A note on the polar decomposition in metric spaces. J. Math. Sci., 280 (2024), 73-82. doi (open access), arxiv
  5. Bekbolat, B., Tokmagambetov, N. Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator. Bound Value Probl, 52 (2024). https://doi.org/10.1186/s13661-024-01859-x
  6. Borikhanov M., Torebek B. T., Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases, J. Math. Anal. Appl., 536:1 (2024), 128172.
  7. Borikhanov M., Torebek B. T., On inhomogeneous exterior Robin problems with critical nonlinearities, J. Differential Equations, 380 (2024), 1-23.
  8. Botchway L., Chatzakou M., Ruzhansky M., Semi-classical pseudo-differential operators on ℏℤn and applications. J. Fourier Anal. Appl., 30 (2024), 4:41. doi (open access), arxiv
  9. Bramati R., Dalla Riva M, Luzzini P., Musolino P., The Functional Analytic Approach for quasi-periodic boundary value problems for the Helmholtz equation, Adv. Differential Equation 29 (2024), no. 1/2, 27-68.
  10. Cardona D., Delgado J., Ruzhansky M., Well-posedness for a class of pseudo-differential hyperbolic equations on the torus. Aequationes Math., 98 (2024), 1019-1038. doi (open access), arxiv
  11. Cardona D., Delgado J., Ruzhansky M., Boundedness of the dyadic maximal function on graded Lie groups. Quart. J. Math., 75 (2024), 809–834. doi, arxiv
  12. Cardona D., Delgado J., Ruzhansky M., Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups. J. Geom. Anal., 34 (2024), 12:374. doi (open access), arxiv
  13. Cardona D., Delgado J., Ruzhansky M., A note on the local Weyl formula on compact Lie groups. J. Lie Theory, 34 (2024), 237-248. link, arxiv
  14. Cardona A., Gómez Cobos S., The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces. Extended Abstracts MWCAPDE 2023: Methusalem Workshop on Classical Analysis and Partial Differential Equations, (2024), 13-22.
  15. Cardona D., Federico S., Ruzhansky M., Subelliptic sharp Gårding inequality on compact Lie groups. Pure Appl. Anal., 6 (2024), 455-485. doi, arxiv
  16. Cardona D., Kowacs A., Global Hypoellipticity on Homogeneous Vector Bundles: Necessary and Sufficient Conditions. In: Chatzakou, M., Restrepo, J., Ruzhansky,
  17. Cardona D., Grajales B, (Editors). Analysis and PDE in Latin America, ICMAM 2022 Latin America to appear in Research Perspectives: Ghent Analysis and PDE Center, Birkhäuser, 2024.
  18. Cardona, D. Restrepo, J. Ruzhansky, M (Editors). Extended Abstracts 2021/2022, Methusalem Lectures, Research Perspectives: Ghent Analysis and PDE Center, Birkhäuser, 2024. https://link.springer.com/book/9783031485787
  19. Cardona D., Duduchava R., Hendrickx, A., Ruzhansky, M., Generic Bessel potential spaces on Lie groups. Tbilisi Analysis and PDE Seminar, 43-54, Trends Math., 7, Res. Perspect. Ghent Anal. PDE Cent., 7, Birkhäuser/Springer, Cham, 2024.
  20. Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. Potential Analysis, 60 (2024), 965–1005. doi (open access), arxiv
  21. Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. Complex Var. Elliptic Equ., 69 (2024), 1049-1082. doi, arxiv
  22. Chatzakou M., Federico S., Zegarlinski B., q-Poincarè inequalities on Carnot groups with filiform type Lie algebra, Potential Anal., (2024) 60:1067–1092. https://doi.org/10.1007/s11118-023-10079-4.
  23. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev-type inequalities on Lie groups. J. Geom. Anal., (2024) 34:275. doi (open access), arxiv
  24. Chatzakou M., Kassymov A., Ruzhansky M., Anisotropic Shannon inequality. Osaka J. Math., 61 (2024), 79-89. link (open access), arxiv
  25. Chatzakou M., Ruzhansky M., Revised logarithmic Sobolev inequalities of fractional order. Bull. Sci. Math., 197 (2024), Paper No 103530.
  26. Chatzakou M., Huang J., Parakhonskiy B. V., Ruzhansky M., Skirtach A. G., Song J., Wang X., Performing Particle Image Segmentation on an Extremely Small Dataset, Analysis and PDE Workshop, Springer Nature Switzerland, Cham, 2021, pp. 295-304.
  27. Chatzakou, M. , Log-Sobolev and Nash Inequalities on Graded Groups. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2. Birkhäuser, Cham. (2024). (DOI: https://doi.org/10.1007/978-3-031-42539-4_3)
  28. Chatzakou, M., Tushir, A., Very Weak Solution of the Discrete Heat Equation with Irregular Time-Dependent Thermal Conductivity. In: Ruzhansky, M., Torebek, B. (eds) Extended Abstracts MWCAPDE 2023. MWCAPDE 2023. Trends in Mathematics, vol 1. Birkhäuser, Cham (2024).(DOI: https://doi.org/10.1007/978-3-031-41665-1_14).
  29. Dasgupta A., Mondal Sh., Ruzhansky M., Tushir A., Time-fractional discrete diffusion equation for Schrodinger operator. Fract. Calc. Appl. Anal., 27 (2024), 3208-3239.
  30. Dasgupta A., Kumar V., Mondal Sh., Ruzhansky M., Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order. J. Evol. Equ., 24 (2024), no. 3, paper No. 51. doi (open access), arxiv
  31. Dauitbek D., Tulenov K. Extensions of Nazarov-Podkorytov lemma in non-commutative spaces of tau-measurable operators. Positivity, 28 (2024), 1-12
  32. De Moraes W. A. A., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, I. Compact Lie groups. Int. Math. Res. Not. IMRN, 2 (2024), 1299-1328. doi, arxiv
  33. Ergashev T.G., Hasanov A., Yuldashev T.K. Some Infinite Expansions of the Lauricella Functions and Their Application in the Study of Fundamental Solutions of a Singular Elliptic Equation. Lobachevskii Journal of Mathematics, 45(3)(2024), 1072-1085.
  34. Ergashev T.G., Hasanov A., Yuldashev T.K.Euler type integral representations for the Kampé de Fériet functions. Journal of Mathematical Sciences, 279(1)(2024), 22-36.
  35. Ergashev T.G., Hasanov A., Yuldashev T.K., Shamilova B.G. The infinite summation formulas of the Multiple Lauricella’s hypergeometric functions. Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci. Mathematics, 44(4)(2024), 22-33.
  36. Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. Nonlinear Anal., 242 (2024), 113500. doi, arxiv
  37. Fino A., Ruzhansky M., Torebek B., Fujita-type results for the degenerate parabolic equations on the Heisenberg groups.  NoDEA Nonlinear Differential Equations Appl., 31, 19 (2024). doi, arxiv
  38. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. J. Lie Theory, 34 (2024), 51-92. link, arxiv
  39. Gómez Cobos S., Restrepo J., Ruzhansky M., Lp-Lq estimates for non-local heat and wave type equations on locally compact groups. C. R. Acad. Sci. Paris, 362 (2024), 1331-1337.
  40. Ghosh S., Kumar V., Ruzhansky M., Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups. Math. Ann., 388 (2024), 4201-4249. doi (open access), arxiv
  41. Ghosh A., Ruzhansky M., Sparse bounds for oscillating multipliers on stratified groups. Monatsh. Math., 205 (2024), 511-529.
  42. Hasanov A., Karimov E., On a boundary-value problem in a bounded domain for a time-fractional diffusion equation with the Prabhakar fractional derivative. Bulletin of the Karaganda university Mathematics series, 111(3) (2023), 39-46.
  43. Hendrickx A., Boundedness of Fourier Multipliers on Fundamental Domains of Lattices. Trends in Mathematics. Extended Abstracts 2021/2022: Ghent Analysis and PDE Seminar, 2 (2024), 45-48.
  44. Hendrickx A., Titchmarsh Theorems for Fourier Transforms of Hölder-Lipschitz Functions on Fundamental Domains of Lattices. Trends in Mathematics. Extended Abstracts MWCAPDE 2023, 1 (2024), 41-51.
  45. Ikromov I., Ruzhansky M., Safarov A., Oscillatory integrals for Mittag-Leffler functions with two variables. C. R. Acad. Sci. Paris, 362 (2024), 789-798. doi
  46. Jerbashian A.M., Rafayelyan S.G., Restrepo J.E., Some aspects of the contribution of Mkhitar Djrbashian to fractional calculus. Fract. Calc. Appl. Anal., 27 (2024) 971-986. https://doi.org/10.1007/s13540-024-00267-3
  47. Jerbashian, A.M., Restrepo, J.E.: Functions of Omega Bounded Type. Birkhäuser, Basel (2024) (to appear). https://link.springer.com/book/9783031498848
  48. Karimov E., Tokmagambetov N., Khasanov Sh., Inverse Problems for Time-Fractional Mixed Equation Involving the Caputo Fractional Derivative. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2(2024) Birkhäuser, Cham., chapter 20, 157-162.
  49. Karimov, E., Tokmagambetov, N., Toshpulatov, M., On a Mixed Equation Involving Prabhakar Fractional Order Integral-Differential Operators. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2.(2024) Birkhäuser, Cham., chapter 25, 221-230.
  50. Karimov E., Sobirov Z., Khujakulov J., A non-local problem for a time-fractional differential equation with the Hilfer operator on metric graph, Math. Meth. Appl. Sci., 47 (2024), 13562-13580.
  51. Karimov E.T., Tokmagambetov N.E., Inverse Problem on Finding Unknown Time-Moment for Mixed Wave-Diffusion Equation. Lobachevskii Journal of Mathematics, 45(7) (2024), 3323-3331.
  52. Karimov E., Tokmagambetov N., Usmonov D., Inverse-initial problem for time-degenerate PDE involving the bi-ordinal Hilfer derivative. Cybernetics and Systems Analysis, 60(5) (2024), 799-809.
  53. Kassymov A., Kumar V., Ruzhansky M., Functional inequalities on symmetric spaces of noncompact type and applications. J. Geom. Anal., 34, 208 (2024). doi (open access), arxiv
  54. Kassymov A., Ruzhansky M., Suragan D., Fractional Hardy type inequalities on homogeneous Lie groups in the case Q<sp. Illinois J. Math., 68 (2024), 415-431. doi, arxiv
  55. Kassymov A., Torebek B. T., Lyapunov-type inequality and positive solutions for a nonlinear fractional boundary value problem, (2024) Rend. Circ. Mat. Palermo, to appear. (https://doi.org/10.1007/s12215-024-01124-1)
  56. Kakharman N., Tulenov K. Rayleigh-Faber-Krahn and Hong-Krahn-Szego type inequalities for the heat operator, (2024) Complex Var. Elliptic Equ., to appear. DOI: 10.1080/17476933.2024.2312516
  57. Komilova, N., Hasanov, A., & Ergashev, T. Expansions of Kampe de Feriet hypergeometric functions. Journal of Mathematics, Mechanics and Computer Science, 122(2), 49–64. 2024. Q(4) https://bm.kaznu.kz/index.php/kaznu/article/view/1503 https://doi.org/10.26577/JMMCS2024-122-02-b5.
  58. Kowacs A., Ruzhansky M., Lieb-Thirring inequalities on the spheres and SO(3). Anal. Math. Phys., 14 (2024), Paper No 131. 
  59. Kian Y., Slodička M., Soccorsi E., Van Bockstal K., On time-fractional partial differential equations of time-dependent piecewise constant order, Mathematical Methods in the Applied Sciences, 48 (2025), 2354-2369
  60. Kumar V., Ruzhansky M., Zhang R., Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity. Ann. Fenn. Math., 49 (2024). 561-582.
  61. Kumar V., Restrepo J.E., Titchmarsh Theorem by Modulus of Continuity for the Deformed Hankel–Lipschitz Classes. In: Ruzhansky, M., Torebek, B. (eds) Extended Abstracts MWCAPDE 2023. MWCAPDE 2023. Trends in Mathematics, vol 1. Birkhäuser, Cham, 2024. https://doi.org/10.1007/978-3-031-41665-1_9
  62. Kumar V., Restrepo J., Ruzhansky M., Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity. Results Math., 79, 22 (2024). doi, arxiv
  63. Le V. C., Slodička M., Van Bockstal K., A numerical scheme for solving an induction heating problem with moving non-magnetic conductor, Computers and Mathematics with Applications, 171 (2024), 60-81
  64. Maes F. and Van Bockstal K., On inverse source problems for space-dependent sources in thermoelasticity, Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, (2024), 153-161
  65. Maes F. and Van Bockstal K., An estimate for the multivariate Mittag-Leffler function, Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 2, (2024), 249-255.
  66. Maes F., Van Bockstal K., Numerical Algorithms for the Reconstruction of Space-Dependent Sources in Thermoelasticity, (2024), arXiv:2410.05775
  67. Manzoor R., Ahmad Z., Ali I., Aslam F., A two-dimensional instability in mixed convection with spatially periodic lower wall heating by LBM method, Kurdish Stud., 12(5) (2024), 1123-1129. DOI: 10.53555/ks.v12i5.3426.
  68. Pedroso Kowacs A., Fourier Analysis on Hypercylinders. In: Cardona, D., Grajales, B. (eds) Analysis and PDE in Latin America. ICMAM 2022. Trends in Mathematics(), vol 10. Birkhäuser, Cham. (2024), 114-121.
  69. Roychowdhury P., Ruzhansky M., Suragan D., Multidimensional Frank-Laptev-Weidl improvement of the Hardy inequality. Proc. Edinb. Math. Soc., 67 (2024), 151-167. doi, arxiv
  70. Roychowdhury P., Suragan D., Improvement of the discrete Hardy inequality, Bull. Sci. Math., 195 (2024) 103468.
  71. Ruzhansky M., Shaimardan S., Yeskermessuly A., Wave equation for Sturm-Liouville operator with singular potentials. J. Math. Anal. Appl., 531 (2024), no. 1, Paper No. 127783. doi, arxiv
  72. Ruzhansky M., Sebih M., Tokmagambetov N., Fractional wave equation with irregular mass and dissipation. Z. Angew. Math. Phys., 75 (2024), no 5, Paper 184.  doi, arxiv
  73. Ruzhansky M., Shriwastawa A., Tiwari B., Hardy inequalities on metric measure spaces, IV: The case p=1. Forum Math., 36 (2024), 1603–1611. doi, arxiv
  74. Ruzhansky M., Shriwastawa A., Tiwari B., A note on best constants for weighted Hardy inequalities on homogeneous groups. Results Math., 79, 29 (2024). doi, arxiv
  75. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. I. Z. Anal. Anwend., 43 (2024), 349-376. doi (open access), arxiv
  76. Ruzhansky M., Yessirkegenov N., Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. J. Geom. Anal., 34, 223 (2024). doi (open access), arxiv
  77. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. Math. Z., 307 (2024), no. 2, paper no. 22. doi (open access), arxiv
  78. Sabitbek B., Torebek B. T., Global existence and blow-up of solutions to the double nonlinear porous medium equation, Discrete Contin. Dyn. Syst. A, 44:3 (2024), 743-767.
  79. Torebek M., Van Bockstal K., (eds) Modern Problems in PDEs and Applications. MWCAPDE 2023. Trends in Mathematics(), vol 4. Birkhäuser, Cham. (2024), 141-151.
  80. Van Bockstal K., Inverse source problems in thermoelasticity, Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, (2024), 215-224.
  81. Wang X., Huang J., Chatzakou M., Nomm S., Valla E., Medijainen K., Taba P., Toomela A., Ruzhansky M., Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control, 87 (2024) 105436. doi, arxiv
  82. Wang X., Text Matching as Time Series Matching, Analysis and PDE Workshop, Springer Nature Switzerland, Cham, 2021, pp. 283-293.
  83. Wang X., Nõmm S., Huang J., Chatzakou M., Ruzhansky M., An Efficient Neural Network for the Diagnosis of Parkinson’s Disease Using Dynamic Handwriting Analysis, Methusalem Workshop on Classical Analysis and PDEs, Springer Nature Switzerland, Cham, 2023, pp. 97-104.
  84. Wang X., Huang J., Nomm S., Chatzakou M., Medijainen K., Toomela A., Ruzhansky M., LSTM-CNN: An efficient diagnostic network for Parkinson’s disease utilizing dynamic handwriting analysis. Computer Methods and Programs in Biomedicine, 247 (2024), 108066. doi, arxiv
  85. Wang X., Huang J., Chatzakou M., Nomm S., Valla E., Medijainen K., Taba P., Toomela A., Ruzhansky M., Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control, 87 (2024) 105436. doi, arxiv
  86. Zhang R., Kumar V., Ruzhansky M., A direct method of moving planes for logarithmic Schrödinger operator. Z. Anal. Anwend., 43 (2024), 287-297. doi (open access), arxiv

2025

  1. Akhymbek M., Tulenov K., Ozbekbay B. Spectrum of the Hilbert transform on Lorentz spaces Lp,q , (2024) Complex Var. Elliptic Equ., to appear. DOI: 10.1080/17476933.2024.2312516
  2. Borikhanov M., Ruzhansky M., Torebek B., Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg group. Discrete Contin. Dyn. Syst. Ser. S, to appear. doi, arxiv
  3. Borikhanov M., Ruzhansky M., Torebek B., The Fujita exponent for a semilinear heat equation with forcing term on the Heisenberg group. Math. Meth. Appl. Sci., to appear. arxiv
  4. Cardona D., Chatzakou M., Ruzhansky M., Toft J., Schatten-von Neumann properties for Hörmander classes on compact Lie groups. Forum Math., to appear. arxiv
  5. Cardona D., Delgado J., Kumar V., Ruzhansky M., Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups. Osaka J. Math., to appear. arxiv
  6. Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. MSJ Memoirs, to appear. arxiv
  7. Cardona D., Ruzhansky M., Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. Hokkaido Math. J., to appear. arxiv
  8. Chatzakou M., Dasgupta A., Ruzhansky M., Tushir A., Discrete heat equation with irregular thermal conductivity and temperate distributional data. Proc. A Royal Soc. Edinburgh, to appear. doi, arxiv
  9. Dasgupta A., Ruzhansky M., Tushir A., Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group. Math. Meth. Appl. Sci., to appear. arxiv
  10. Kassymov A., Ruzhansky M., Zaur G., On fractional inequalities on metric measure spaces with polar decomposition. Forum Math., to appear. doi, arxiv
  11. Kumar M., Kumar V., Ruzhansky M., Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order. Int. J. Math., to appear. arxiv
  12. Lee G., Lesch M., Weakly parametric pseudodifferential calculus for twisted $C^*$-dynamical systems, (2023) J. Noncommut. Geom., to appear. (https://arxiv.org/abs/2307.00435)
  13. Lee G., Lein M., A proof of $\mathfrak{L}^2$-boundedness for magnetic pseudodifferential super operators via matrix representations with respect to Parseval frames, (2024) Monatsh. Math., to appear. (https://arxiv.org/abs/2405.19964)
  14. Rana T., Ruzhansky M., Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane. Ann. Sc. Norm. Super. Pisa Cl. Sci., to appear. arxiv
  15. Restrepo J., Ruzhansky M., Torebek B., Integro-differential diffusion equations on graded Lie groups. Asymptotic Anal., to appear. arxiv
  16. Ruzhansky M., Sabitbek B., Hardy and Rellich inequalities with Bessel pairs. Proc. Edinburgh Math. Soc., to appear. arxiv
  17. Ruzhansky M., Yeskermessuly A., Schrödinger equation for Sturm-Liouville operator with singular propagation and potential. Z. Anal. Anwend., to appear. arxiv
  18. Ruzhansky M., Yimer M. F., Levin-Cochran-Lee inequalities and best constants on homogeneous groups. Aequationes Math., to appear. arxiv
  19. Serikbayev D., Ruzhansky M., Tokmagambetov N., Heat source determining inverse problem for non-local in time equation. Math. Meth. Appl. Sci., 48 (2025), 1768-1791.
  20. Zhang R., Kumar V., Ruzhansky M., Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere. J. Math. Anal. Appl., 543 (2025), Paper No 129029.

Preprints

  1. Akhymbek M., Ruzhansky M., Tulenov K., On geometric properties of lp-spaces on unitary duals of compact groups. arxiv
  2. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Tsunami propagation for singular topographies. arxiv
  3. Avetisyan Z., Karapetyants A., Mixed-Fourier-norm spaces and holomorphic functions, (2024). https://arxiv.org/abs/2411.15379
  4. Avetisyan Z., Karapetyants A., Smirnova I., Mixed Fourier norm spaces of analytic functions on the upper half-plane and Toeplitz operators, (2024). https://arxiv.org/abs/2412.18954
  5. Avetisyan Z., Grigoryan M., Ruzhansky M., Elements (functions) that are universal with respect to a minimal system. arxiv
  6. Avetisyan Zh., Khachatrsyan Kh., Ruzhansky M., Parabolic equations with concave non-linearity. arxiv
  7. Bekbolat B., Tokmagambetov N., One inverse source problem generated by the Dunkl operator, (2023). arXiv:2308.01232.
  8. Bramati, R., Dalla Riva M., Luczak B., Continuous harmonic functions on a ball that are not in H^s for s>1/2, (2022). https://arxiv.org/pdf/2203.04744.pdf
  9. Cardona D. The Wodzicki residue for pseudo-differential operators on compact Lie groups, Harmonic Analysis and Partial Differential Equations. Trends in Mathematics, arXiv:2201.12336
  10. Cardona D., Kowacs A., Global hypoellipticity of G-invariant operators on homogeneous vector bundles, (2024). https://doi.org/10.48550/arXiv.2310.17288
  11. Cardona D., Kirilov A., de Moraes W. A. A., Kowacs A., On the Sobolev boundedness of vector fields on compact Riemannian manifolds, (2024). https://doi.org/10.48550/arXiv.2404.00182
  12. Cardona D. Characterisation of certain Schatten-von Neumann classes on the torus, submitted.
  13. Cardona D. Hörmander condition for pseudo-multipliers associated to the harmonic oscillator, submitted. arXiv:1810.01260.
  14. Cardona D. On the multiplier problem for the ball on graded Lie groups, submitted. arXiv:2012.11057.
  15. Cardona D. Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2, submitted.
  16. Cardona D. Spectral inequalities for elliptic pseudo-differential operators on closed manifolds, submitted, arXiv:2209.10690.
  17. Cardona D., Chatzakou M., Delgado J., Kumar V., Ruzhansky M., Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations. arxiv
  18. Cardona D., Chatzakou M., Delgado J., Ruzhansky M., Degenerate Schrödinger equations with irregular potentials. arxiv
  19. Cardona D., Delgado J., Muñoz Tello A. Gateaux differentiability of the Sobolev norm W(k,1)(M) on compact Riemannian manifolds, submitted.
  20. Cardona D., Delgado J., Ruzhansky M., Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations. arxiv
  21. Cardona D., Delgado J., Ruzhansky M., Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation. arxiv
  22. Cardona D., Delgado J., Ruzhansky M., Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds. arxiv
  23. Cardona D., Duduchava R., Hendrickx A., Ruzhansky M., Global pseudo-differential operators on the Lie group $G=(-1,1)^n$. arxiv
  24. Cardona D., Grajales B., Ruzhansky M. On the sharpness of Strichartz estimates and spectrum of compact Lie groups. arxiv
  25. Cardona D., Kumar V., Ruzhansky M., Pseudo-differential operators on homogeneous vector bundles over compact homogeneous manifolds. arxiv
  26. Cardona D., Kumar V., Ruzhansky M., Lp-Lq boundedness of pseudo-differential operators on graded Lie groups. arxiv
  27. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. arxiv
  28. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Lp–Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. arxiv
  29. Cardona D., Ruzhansky M., The weak (1,1) boundedness of Fourier integral operators with complex phases. arxiv
  30. Cardona D., Ruzhansky M., Boundedness of oscillating singular integrals on Lie groups of polynomial growth. arxiv
  31. Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. arxiv
  32. Cardona D., Ruzhansky M., Weak (1,1) continuity and Lp-theory for oscillating singular integral operators. arxiv
  33. Chatzakou M, Federico S., Zegarlinski B., Poincarè inequalities on Carnot groups and spectral gap of Schrödinger operators, (2022). https://arxiv.org/abs/2211.09471.
  34. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Hardy-Rellich inequalities on Lie groups. arxiv
  35. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev, Hardy and Poincaré inequalities on the Heisenberg group. arxiv
  36. Chatzakou M., Kassymov A., Ruzhansky M., On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups. arxiv
  37. Chatzakou M., Geometric logarithmic Hardy and Hardy-Poincaré inequalities on stratified groups (2024). ArXiv: 2402.10279.
  38. Chatzakou M.., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups. arxiv
  39. Chatzakou M., Ruzhansky M., Shriwastawa A., Sharp upper bound for anisotropic Renyi entropy and Heisenberg uncertainty principle. arxiv
  40. Chatzakou M., Ruzhansky M., Yannakakis N., Nearness and solvability of non-invariant equations on stratified groups. arxiv
  41. Dasgupta A., Mondal S., Ruzhansky M., Tushir A., Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential. arxiv
  42. Dasgupta A., Kumar V., Mohan L., Mondal S. S., Non-harmonic M-elliptic pseudo differential operators on manifolds. https://doi.org/10.48550/arXiv.2307.10825
  43. Dasgupta A., Kumar V., Mondal Sh., Ruzhansky M., Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces. arxiv
  44. Dasgupta A., Ruzhansky M., Tushir A., Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation. arxiv
  45. Delgado J., Velasquez-Rodriguez J., Fundamental solution of the Vladimirov-Taibleson operator on noncommutative Vilenkin groups, (2022). https://arxiv.org/abs/2204.07133.
  46. Federico S., Rottensteiner D., Ruzhansky M., Weyl calculus on graded groups. arxiv
  47. Ganguly P., Rana T., Sarkar J., Weighted estimates for Hardy-Littlewood maximal functions on Harmonic $NA$ groups. https://arxiv.org/abs/2307.10806
  48. Gómez Cobos S., Restrepo J. E., Ruzhansky M., Heat-wave-Schrödinger type equations on locally compact groups. arxiv
  49. Gómez Cobos S., Restrepo J., Ruzhansky M., Evolutionary integro-differential equations of scalar type on locally compact groups. arxiv
  50. Gómez Cobos S., Ruzhansky M., Lp-bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry. arxiv
  51. Ghosh S., Kumar V., Ruzhansky M., Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. arxiv
  52. Ghosh S., Kumar V., Ruzhansky M., Subelliptic nonlocal Brezis-Nirenberg problems on stratified Lie groups. arxiv
  53. Hasanov A., Karimov E., On generalized Mittag-Leffler type functions of two variables, (2023), http://dx.doi.org/10.13140/RG.2.2.11061.45288
  54. Huang J., Wang H., Ruzhansky M., Semi-sparsity on piecewise constant function spaces for triangular mesh denoising. arxiv
  55. Huang J., Wang H., Ruzhansky M., Semi-sparsity priors for image structure analysis and extraction. arxiv
  56. Huang J., Wang H., Weiermann A., Ruzhansky M., Optimal image transport on sparse dictionaries. arxiv
  57. Jleli M., Ruzhansky M., Samet B., Torebek B., Semilinear wave inequalities and potential terms on Riemannian manifolds. arxiv
  58. Jleli M., Ruzhansky M., Samet B., Torebek B., Higher-order evolution inequalities with Hardy potential on the Koranyi ball. arxiv
  59. Karimov E., Murolimova N., Usmonov D., An initial-boundary value problem for a degenerate partial differential equation involving tempered Caputo fractional order derivative, (2023), http://dx.doi.org/10.13140/RG.2.2.17772.33925.
  60. Karimov E., Shaimardan S., Inverse problems for q-analogue of the heat equation, http://dx.doi.org/10.13140/RG.2.2.27790.02883
  61. Karimov E., Ruzhansky M., Shaimardan S., Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional q-derivative. arxiv
  62. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B., Liouville theorems for Kirchhoff-type hypoelliptic partial differential equations and systems. I. Heisenberg group. arxiv
  63. Kassymov A., Velasquez-Rodriguez J., Hardy inequalities on constant-order noncommutative Vilenkin groups, (2022). https://arxiv.org/abs/2208.03495.
  64. Kowacs A., Ruzhansky M., Vector valued Garding inequality for pseudo-differential operators on compact homogeneous manifolds. arxiv
  65. Kumar V., Mondal S., Ruzhansky M., Torebek B., Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case. arxiv
  66. Kumar P., Pusti S., Rana T., Singh M., Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type (2024). Arxiv
  67. Kumar V., Rana T., Ruzhansky M., Classical inequalities for all Fourier matrix coefficients of SL(2,ℝ) and their applications. arxiv
  68. Kumar V., Ruzhansky M., Titchmarsh theorems, Hausdorff-Young-Paley inequality and Lp-Lq boundedness of Fourier multipliers on harmonic NA groups. arxiv
  69. Kumar V., Ruzhansky M., Zhang H., Smoothing properties of dispersive equations on non-compact symmetric spaces. arxiv
  70. Kumar V., Ruzhansky M., Zhang H.-W., Stein-Weiss inequality on non-compact symmetric spaces. arxiv
  71. Kuznetsova Y., Song Z., Pointwise and uniform bounds for functions of the Laplacian on non-compact symmetric spaces, (2024). https://arxiv.org/abs/2409.02688
  72. Le V. C., Slodička M., Van Bockstal K., A numerical scheme for solving an induction heating problem with moving non-magnetic conductor, (2023). arXiv:2301.11744
  73. Lee G., Lein M,. A proof of $\mathfrak{L}^2$-boundedness for magnetic pseudodifferential super operators via matrix representations with respect to Parseval frames, (2024). https://arxiv.org/abs/2405.19964
  74. Rana T., Ruzhansky M., Lp-Lq Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type. arxiv
  75. Rodriguez Torijano C. A.., Ruzhansky M., Subelliptic wave equations with log-Lipschitz coefficients. arxiv
  76. Ruzhansky M., Sebih M. E., Tokmagambetov N., Heat equation with singular thermal conductivity. arxiv
  77. Ruzhansky M., Sebih M., Yeskermessuly A., Wave equations for the fractional Sturm-Liouville operator with singular coefficients. arxiv
  78. Ruzhansky M., Shaimardan S., Direct and inverse source problems for heat equation in quantum calculus. arxiv
  79. Ruzhansky M., Shaimardan S., Tokmagambetov N., Some estimates for Mittag-Leffler function in quantum calculus and applications. arxiv
  80. Ruzhansky M., Shaimardan S., Tulenov K., Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces. arxiv
  81. Ruzhansky M., Shaimardan S., Tulenov K., Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications. arxiv
  82. Ruzhansky M., Shaimardan S., Tulenov K., Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces. arxiv
  83. Ruzhansky M., Shaimerdenov Y., Yessirkegenov N., Cylindrical extensions of critical Sobolev type inequalities and identities. arxiv
  84. Ruzhansky M., Shriwastawa A., Tiwari B., Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups. arxiv
  85. Ruzhansky M., Shriwastawa A., Verma D., Bilinear Hardy inequalities on metric measure spaces. arxiv
  86. Ruzhansky M., Yeskermessuly A., Heat equation for Sturm-Liouville operator with singular propagation and potential. arxiv
  87. Ruzhansky M., Zeng K., Schatten classes on noncommutative tori: Kernel conditions. arxiv
  88. Serikbayev D., Ruzhansky M., Tokmagambetov N., Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation. arxiv
  89. Shaimardan S., Karimov E., Ruzhansky M., Mamanazarov A., The Prabhakar fractional q-integral and q-differential operators, and their properties. arxiv
  90. Torebek B. T., Blow-up results for the semilinear Schrödinger equations with forcing and gradient terms: the critical cases, (2024). https://doi.org/10.48550/arXiv.2412.08963
  91. Tobakhanov N. N., Torebek B. T., On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain, (2024). https://doi.org/10.48550/arXiv.2411.03983

Books/Editorials

  1. Ashyralyev A., Ruzhansky M., Sadybekov M. (Eds.) Analysis and Applied Mathematics. Extended Abstracts of the 2022 Joint Seminar, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+220pp. link
  2. Cardona D., Restrepo J., Ruzhansky M. (Eds.) Extended Abstracts 2021/2022. Methusalem Lectures, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. xi+268pp. link
  3. Chatzakou M., Restrepo J., Ruzhansky M., Torebek B., Van Bockstal K. (Eds.) Modern Problems in PDEs and Applications. Extended Abstracts of the 2023 GAP Center Summer School, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. viii+190pp. link
  4. Chatzakou M., Ruzhansky M., Stoeva D. (Eds.) Women in Analysis and PDE. Extended Abstracts of the 2023 GAP Center Summer School, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+310pp. link
  5. Jerbashian A.M., Restrepo J.E., Functions of Omega-Bounded Type: Basic Theory. Birkhäuser, Heidelberg, Germany, 2024. xvii+360pp https://link.springer.com/book/9783031498848
  6. Kumar V., Rottensteiner D., Ruzhansky M. (Eds.) Pseudo-Differential Operators and Related Topics. Extended Abstracts PSORT 2024, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+150pp. link
  7. Ruzhansky M., Torebek B. (Eds.) Extended Abstracts MWCAPDE 2023. Methusalem Workshop on Classical Analysis and Partial Differential Equations, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. xiv+235pp. link
  8. Ruzhansky M., Van Bockstal K. (Eds.) Extended Abstracts 2021/2022. Ghent Analysis and PDE Seminar, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+311pp. link