4 papers · 1 filter
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…
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…
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…
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 $\…