Cleber de Medeira

collaborators

2 papers

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…

math.AP2018

Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields

Alexandre Arias Junior, Alexandre Kirilov, Cleber de Medeira

Let $L_{j} = \partial_{t_{j}} + (a_{j} + i b_{j}) (t_{j}) \partial_{x}, j = 1, \dots, n,$ be a system of vector fields defined on the torus $T_{t}^{n} \times T_{x}^{1}$ , where the coe…