Wagner Augusto Almeida de Moraes

I am a Postdoctoral Researcher at the Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University. I am a member of research group “Analysis and PDEs” of Prof. Michael Ruzhansky. I completed my Ph.D. from Department of Mathematics of Federal University of Paraná, Brazil in 2020 under the supervisor of Prof. Alexandre Kirilov and the cosupervisor of Prof. Michael Ruzhansky on “Global properties for a class of operators on compact Lie groups” (available on https://acervodigital.ufpr.br/handle/1884/69556).

Research Interests

  • Partial Differential Equations 
  • Pseudo-differential operators;
  • PDEs on compact Lie groups;
  • Global hypoellipticity
  • Global solvability
  • Harmonic Analysis
  • Spectral Theory

List of Publications

[3] A. Kirilov, W. A. A. de Moraes, M. Ruzhansky; Global hypoellipticity and global solvability for vector fields on compact Lie groups, Journal of Functional Analysis, Volume 280, Issue 2, 108806, 2021, ISSN 0022-1236, https://doi.org/10.1016/j.jfa.2020.108806

[2] A. Kirilov, W. A. A. de Moraes, M. Ruzhansky; Partial Fourier series on compact Lie groups, Bulletin des Sciences Mathématiques, Volume 160, 102853, 27, 2020, ISSN 0007-4497, https://doi.org/10.1016/j.bulsci.2020.102853

[1] A. Kirilov, W. A. A. de Moraes; Global Hypoellipticity for Strongly Invariant Operators, Journal of Mathematical Analysis and Applications, Volume 486, Issue 1, 123878, 2020, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2020.123878

Preprints

[4] W. A. A. de Moraes; Regularity of solutions to a Vekua type equation on compact Lie groups, 2021. https://arxiv.org/pdf/2101.06316

[3] A. Kirilov, W. A. A. de Moraes, R. P. da Silva; Global analytic hypoellipticity for a class of evolution operators on T1xS3, 2020. https://arxiv.org/abs/2001.09965

[2] A. Kirilov, W. A. A. de Moraes, M. Ruzhansky;  Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms, 2019. https://arxiv.org/pdf/1911.02486

[1] A. Kirilov, W. A. A. de Moraes, M. Ruzhansky; Global properties of vector fields on compact Lie groups in Komatsu classes, 2019. https://arxiv.org/pdf/1910.01922