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

DOI10.1016/j.jmaa.2019.01.074zbMath1418.35087arXiv1810.01906OpenAlexW2895756450WikidataQ128487816 ScholiaQ128487816MaRDI QIDQ2414847

Alexandre Kirilov, Alexandre Arias Junior, Cleber de Medeira

Publication date: 17 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01906

zbMATH Keywords

Fourier seriesDiophantine approximationsexponential Liouville vectors

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Systems of linear first-order PDEs (35F35)

Related Items (9)

Global properties of vector fields on compact Lie groups in Komatsu classes. II: Normal forms ⋮ Global Gevrey solvability for a class of perturbations of involutive systems ⋮ Global Denjoy-Carleman hypoellipticity for a class of systems of complex vector fields and perturbations ⋮ Solvability of a class of first order differential operators on the torus ⋮ Global Gevrey solvability for a class of involutive systems on the torus ⋮ Global analytic hypoellipticity for a class of evolution operators on \(\mathbb{T}^1 \times \mathbb{S}^3\) ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes

Cites Work

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