Abstract
In this note, we investigate Vekua-type periodic operators of the form Pu=Lu−Au−Bū, where L is a constant coefficient partial differential operator. We provide a complete characterization of the necessary and sufficient conditions for the solvability and global hypoellipticity of P. As an application, we provide a comprehensive characterization of Vekua-type operators associated with classical wave, heat, and Laplace equations.
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