\(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type
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Publication:1956515
DOI10.1007/s10231-009-0115-8zbMath1200.35049OpenAlexW2080297689MaRDI QIDQ1956515
Publication date: 22 September 2010
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-009-0115-8
normalizationcomplex vector fieldscondition \({(\mathcal P)}\)solvability near the characteristic set
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for linear first-order PDEs (35F10)
Related Items (4)
\(C^k\)-solvability near the characteristic set for a class of elliptic vector fields with degeneracies ⋮ Solvability near the characteristic set for a special class of complex vector fields ⋮ Properties of solutions of a class of planar elliptic operators with degeneracies ⋮ Global solvability and global hypoellipticity of complex vector fields on surfaces
Cites Work
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- 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.
- Normalization of complex-valued planar vector fields which degenerate along a real curve
- On rotationally invariant vector fields in the plane
- 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
- 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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