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math.AP2023
Solvability of Vekua-type periodic operators and applications to classical equations
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro
In this note, we investigate Vekua-type periodic operators of the form , where is a constant coefficient partial differential operator. We provide a complete…
math.AP2023
Global solvability and hypoellipticity for evolution operators on tori and spheres
André Pedroso Kowacs, Alexandre Kirilov, Wagner Augusto Almeida de Moraes
In this paper, we study the global properties of a class of evolution-like differential operator with a 0-order perturbation defined on the product of tori and spheres $\…