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arXiv · 2101.06316

Regularity of solutions to a Vekua-type equation on compact Lie groups

Wagner Augusto Almeida de Moraes
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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.

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Wagner Augusto Almeida de Moraes. 2021-01-15. Regularity of solutions to a Vekua-type equation on compact Lie groups. https://doi.org/10.1007/s10231-021-01120-7

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