Gevrey semiglobal solvability for a class of complex vector fields

DOI10.1080/17476933.2021.1913732zbMath1496.35131OpenAlexW3158058277MaRDI QIDQ5094513

Miguel A. C. Zapata, Paulo L. Dattori da Silva

Publication date: 3 August 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1913732

zbMATH Keywords

Gevrey regularitysemiglobal solvabilitycondition \((\mathcal{P})\)elliptic degenerate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear first-order PDEs (35F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type
• On E. Borel's theorem
• Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
• A Note about Analytic Solvability of Complex Planar Vector Fields with Degeneracies
• Gevrey solvability and Gevrey regularity in differential complexes associated to locally integrable structures
• A Multivariate Faa di Bruno Formula with Applications
• Solvability of a first order linear partial differential equation
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