Solvability near the characteristic set for a special class of complex vector fields

DOI10.1007/s00013-011-0351-1zbMath1235.35008OpenAlexW1964000791MaRDI QIDQ766085

Paulo L. Dattori da Silva, Evandro Raimundo da Silva

Publication date: 23 March 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0351-1

zbMATH Keywords

semi-global solvabilitycondition \((\mathcal P)\)partial Fourier series

Mathematics Subject Classification ID

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

Related Items (2)

\(C^k\)-solvability near the characteristic set for a class of elliptic vector fields with degeneracies ⋮ Global solvability and global hypoellipticity of complex vector fields on surfaces

Cites Work

• Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type
• Closedness of the range for vector fields on the torus
• Solvability near the characteristic set for a class of planar vector fields of infinite type.
• \(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type
• Nonexistence of global solutions for a class of complex vector fields on two-torus
• A Note about Analytic Solvability of Complex Planar Vector Fields with Degeneracies
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• 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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