Existence of global solutions for a class of vector fields on the three-dimensional torus

DOI10.1016/j.bulsci.2018.06.002zbMath1403.35081OpenAlexW2807858655MaRDI QIDQ1786732

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

Publication date: 24 September 2018

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.06.002

zbMATH Keywords

Fourier seriesDiophantine conditioncondition (\(\mathcal{P}\))

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Linear first-order PDEs (35F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

Solvability for perturbations of a class of real vector fields on the two-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

Cites Work

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• Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
• Existence and regularity of periodic solutions to certain first-order partial differential equations
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• Closedness of the range for vector fields on the torus
• Nonexistence of global solutions for a class of complex vector fields on two-torus
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Solvability of a first order linear partial differential equation

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