Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus

DOI10.1016/j.jde.2017.11.022zbMath1395.35074OpenAlexW2772329677MaRDI QIDQ1688671

Adalberto Panobianco Bergamasco, Rafael Borro Gonzalez, Paulo L. Dattori da Silva

Publication date: 11 January 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.11.022

zbMATH Keywords

Fourier seriesGevrey solvabilityGevrey hypoellipticityDiophantine properties of the coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Hypoelliptic equations (35H10)

Related Items (12)

Gevrey semiglobal solvability for a class of complex vector fields ⋮ Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields ⋮ Global analytic hypoellipticity of involutive systems on compact manifolds ⋮ Global analytic solvability of involutive systems on compact manifolds ⋮ 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 ⋮ A Gevrey differential complex on the torus ⋮ Existence and regularity of periodic solutions for a class of partial differential operators ⋮ Solvability of a class of first order differential operators on the torus ⋮ Fourier analysis for Denjoy–Carleman classes on the torus ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\)

Cites Work

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