10 citations · 10 across the 5 of their papers we have counts for
5 papers
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 $\…
Global analytic hypoellipticity for a class of evolution operators on
Alexandre Kirilov, Ricardo Paleari da Silva, Wagner Augusto Almeida de Moraes
In this paper, we present necessary and sufficient conditions to have global analytic hypoellipticity for a class of first-order operators defined on $\mathbb{T}^1 \times \mathbb{S…