Articles

Preprints202120202019>2018
  1. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theory, 10 (2020), 1361-1411. doi, arxiv
  2. Ruzhansky M., Torebek B., Multidimensional van der Corput-type estimates involving Mittag-Leffler functions. Fract. Calc. Appl. Anal. 23 (2020), 1663-1677. doi
  3. Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. Adv. Diff. Equations, 25 (2020), 627-650. doi, arxiv
  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. doi, arxiv 
  5. Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. C. R. Acad. Sci. Paris, 358 (2020), 609-615. doi, arxiv
  6. Karimov E., Mamchuev M., Ruzhansky M., Non-local initial problem for second order time-fractional and space-singular equation, Hokkaido Math. J., 49 (2020), 349–361. doi, arxiv
  7. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. Sci., 10 (2020), no. 3, 2050016, 17 pp. doi, arxiv
  8. 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. link (open access), arxiv
  9. Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Ann. Funct. Anal., 11 (2020), 1042-1061. link (open access), arxiv
  10. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum, 101 (2020), 162-191. link (open access), arxiv
  11. Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groups. Anal. Math. Phys., 10 (2020), no. 3, 33, 20pp. link, arxiv
  12. 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.  link, arxiv
  13. Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zn, J. Funct. Anal., 278 (2020), no. 11, 108473, 41pp. link (open access), arxiv
  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. arxiv, link (open access)
  15. Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-Laplacians, Banach J. Math. Anal., 14 (2020), 380-398. link, arxiv
  16. Ruzhansky M., Tokmagambetov N., Torebek B., On a non-local problem for a multi-term fractional diffusion-wave equation. Fract. Calc. Appl. Anal., 23 (2020), 324-355. link, arxiv
  17. Ruzhansky M., Hasanov A., Self-similar solutions of some model degenerate partial differential equations of the second, third and fourth order, Lobachevskii J. Math., 41 (2020), 1103-1114. link, arxiv
  18. Hasanov A., Ruzhansky M., Hypergeometric expansions of solutions of the degenerate model parabolic equations of the third order, Lobachevskii J. Math., 41 (2020), 27-31. link
  19. Kirilov A., De Moraes W., Ruzhansky M., Partial Fourier series on compact Lie groups. Bull. Sci. Math., 160 (2020), 102853. link, arxiv
  20. Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math., 31 (2020), 266-276. link, arxiv
  21. Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing  functions, Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), 103-130. arxiv, link (open access)
  22. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088. link (open access), arxiv
  23. Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access), arxiv
  24. 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. link
  25. Ruzhansky M., Tokmagambetov N., Torebek B., Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group, Integral Transforms and Special Functions, 31 (2020), 1-9. link (open access)
  26. Mamaeva S.N., Kononova I.V., Ruzhansky M., Nikiforov P.V., Nikolaevа N.A., Pavlov A.N., Fedorova N.F., Huang J., Semenova M.N.,  Barashkova D.V., Frolova L.S., Maksimov G.V., 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): 70-75, 2020. link (open access)
  27. Kumar V., Sarma R., Continuity of operators intertwining with translation operators on hypergroups. Aequat. Math., (2020). doi
  28. Kumar V., Kumar N. Shravan, Sarma R., Characterization of Multipliers on Hypergroups. Acta Math Vietnam, 45 (2020), 783–794. doi
  29. Kumar V., Mondal S. S., Nuclearity of operators related to finite measure spaces. J. Pseudo-Differ. Oper. Appl., 11 (2020), 1031–1058. doi
  30. Dasgupta A., Kumar V., Hilbert-Schmidt and Trace class pseudo-differential operators on the abstract Heisenberg group. J. Math. Anal. Appl., 486 (2020), issue 2, 123936. doi
  31. Cardona D., A note on the Stein restriction conjecture and the restriction problem on the torus. Electron. J. Math. Anal. Appl. 8 (2020), issue 2, paper no. 15, 165-171.
  32. Cardona D., Sharp estimates for the Schrödinger equation associated to the twisted Laplacian. Rep. Math. Phys. 85 (2020), issue 1, 29-39. doi arxiv
  33. Cardona D., Del Corral C., The Dixmier trace and the Wodzicki residue for pseudo-differential operators on compact manifolds. Rev. Integr. Temas. Mat., 38 (2020), issue 1, 67-79. link (open access), arxiv
  34. Cardona D., Del Corral C., The Dixmier trace and the non-commutative residue for multipliers on compact manifolds. Trends in Mathematics. Advances in Harmonic Analysis and Partial Differential Equations, 2020, 121-163 Birkhäuser, Cham. doi, arxiv
  35. Chatzakou M., On (λ,μ)-classes on the Engel group. In: Georgiev V., Ozawa T., Ruzhansky M., Wirth J. (eds) Advances in Harmonic Analysis and Partial Differential Equations, Trends Math., Birkhauser/Springer, (2020), 37-49. Cham. doi, arxiv
  36. Gröchenig K., Romero J.L. , Rottensteiner D. , van Velthoven J.T., Balian-Low type theorems on homogeneous groups, Analysis Mathematica 46 (2020), 483–515. arxiv
  37. Kassymov A., Tokmagambetov N., Torebek B., Nonexistence results for the hyperbolic-type equations on graded Lie groups, Bulletin of the Malaysian Mathematical Sciences Society, 43 (2020), issue 6, 4223–4243. doi
  38. Tapdigoglu R., Torebek B., Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation. Turkish Journal of Mathematics, 44 (2020), issue 3, 960–969. doi
  39. Alsaedi A., Kirane M., Torebek B., Blow-up of smooth solutions of the time-fractional Burgers equation. Quaestiones Mathematicae, 43 (2020), issue 2, 185–192. doi
  40. Kassymov A., Suragan D., Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group. Bulletin des Sciences Mathématiques, 165 (2020), no. 102916. doi
  41. Kassymov A., Suragan D., Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group. Complex Variables and Elliptic Equations, 66 (2021), issue 4, 614-625. doi
  42. Kassymov A., Suragan D., Lyapunov-type inequalities for the fractional p-sub-Laplacian. Advances in Operator Theory, 5 (2020), issue 2, 435-452. doi
  43. Zorica D., Oparnica Lj., Energy dissipation for hereditary and energy conservation for non-local fractional wave equations. Phil. Trans. R. Soc., 378 (2020), issue 2172, no. 20190295. doi
  44. Oparnica Lj., Süli E., Well-posedness of the fractional zener wave equation for heterogeneous viscoelastic materials. Fractional Calculus and Applied Analysis, 23 (2020), issue 1, 126-166. doi, arxiv
  45. Sadybekov M.А., Dukenbayeva A.A., On boundary value problems of the Samarskii–Ionkin type for the Laplace operator in a ball. Complex Variables and Elliptic Equations, 2020. doi
  46. Sadybekov M.А., Dukenbayeva А.А., On a boundary value problem of the Samarskii-Ionkin type for the Laplace operator in a ball, Kazakh Mathematical Journal, 20 (2020), issue 1, 84-94. doi