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math.AP2024
Denjoy-Carleman solvability of Vekua-type periodic operators
Alexandre Kirilov, Wagner Augusto Almeida de Moraes, Pedro Meyer Tokoro
This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradiffere…
math.AP2024
Global hypoellipticity for a class of complex-valued evolution equations on compact Lie groups
Wagner A. A. de Moraes
We present necessary and sufficient conditions to have global hypoellipticity for a class of complex-valued coefficient first order evolution equations defined on $\mathbb{T}^1 \ti…