Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies

DOI10.1002/mana.202100235zbMath1526.35003MaRDI QIDQ6074600

Paulo L. Dattori da Silva, Adalberto Panobianco Bergamasco, Gabriel Araújo

Publication date: 12 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

Gevrey functionsDiophantine conditionsformal solutionscondition \((\mathcal{P})\)

Mathematics Subject Classification ID

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

Cites Work

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• Brjuno numbers and the symbolic dynamics of the complex exponential
• Gevrey solvability and Gevrey regularity in differential complexes associated to locally integrable structures
• Remarks about global analytic hypoellipticity
• Global properties of a class of planar vector fields of infinite type
• Solvability of a first order linear partial differential equation
• On planar elliptic structures with infinite type degeneracy

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