Cleber de Medeira

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

21 citations · 21 across the 2 of their papers we have counts for

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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★ 21 cited

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…