3 papers
math.AP2025
Global Hypoellipticity for Systems in Time-Periodic Gelfand-Shilov Spaces
Fernando de Ávila Silva, Marco Cappiello, Alexandre Kirilov
We investigate the global hypoellipticity of a class of overdetermined systems with coefficients depending both on time and space variables in the setting of time-periodic Gelfand-…
math.AP2021
Global ultradifferentiable hypoellipticity on compact manifolds
Fernando de Ávila Silva, Eliakim Cleyton Machado
We study the global hypoellipticity problem for certain linear operators in Komatsu classes of Roumieu and Beurling type on compact manifolds. We present an approach by combining a…
math.AP2020
Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus
Cleber de Medeira, Fernando de Avila Silva
This article studies the global hypoellipticity of a class of overdetermined systems of pseudo-differential operators defined on the torus. The main goal consists in establishing c…