3 papers
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…
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…