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arXiv · 2406.13110

Denjoy-Carleman solvability of Vekua-type periodic operators

Alexandre Kirilov·Wagner Augusto Almeida de Moraes·Pedro Meyer Tokoro
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Abstract

This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient conditions for achieving these global properties in the case of constant-coefficient operators, along with applications to classical operators. Additionally, we investigate a class of variable coefficients and establish conditions for its solvability.

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Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro. 2024-06-18. Denjoy-Carleman solvability of Vekua-type periodic operators. https://doi.org/10.4171/zaa%2F1791

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