Regularity of solutions to a Vekua-type equation on compact Lie groups
Analysis of PDEs
2021-07-02 v2
Abstract
We present sufficient conditions to have global hypoellipticity for a class of Vekua-type operators defined on a compact Lie group. When the group has the property that every non-trivial representation is not self-dual we show that these sufficient conditions are also necessary. We also present results about the global solvability for this class of operators.
Keywords
Cite
@article{arxiv.2101.06316,
title = {Regularity of solutions to a Vekua-type equation on compact Lie groups},
author = {Wagner Augusto Almeida de Moraes},
journal= {arXiv preprint arXiv:2101.06316},
year = {2021}
}
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23 pages