Solvability near the characteristic set for a class of planar vector fields of infinite type.

DOI10.5802/aif.2090zbMath1063.35051OpenAlexW202760375MaRDI QIDQ1774109

Abdelhamid Meziani, Alberto P. Bergamasco

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_1_77_0

zbMATH Keywords

compatibility conditionscomplex vector field\(C^\infty\) coefficients\(C^\omega\) coefficients

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items

Normalization, optimal regularity, and solvability in Gevrey classes of vector fields near trapped orbits ⋮ Solvability in the large for a class of vector fields on the torus ⋮ On the hypoellipticity of differential forms with isolated singularities ⋮ A Łojasiewicz inequality in hypocomplex structures of ℝ² ⋮ Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies ⋮ Solvability for perturbations of a class of real vector fields on the two-torus ⋮ Global solvability of real analytic complex vector fields in two variables ⋮ \(C^k\)-solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ Global solvability for a class of overdetermined systems ⋮ The Riemann–Hilbert problem for elliptic vector fields with degeneracies ⋮ \(C^k\)-solvability near the characteristic set for a class of elliptic vector fields with degeneracies ⋮ Gevrey 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 ⋮ Elliptic planar vector fields with degeneracies ⋮ Solvability near the characteristic set for a special class of complex vector fields ⋮ On the global solvability for overdetermined systems ⋮ On the solvability of planar complex linear vector fields ⋮ Cauchy integral operator in complex structures with degeneracies

Cites Work

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• Global properties of a class of vector fields in the plane
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• On the similarity principle for planar vector fields: Application to second order PDE
• Perturbations of globally hypoelliptic operators
• Normalization of complex-valued planar vector fields which degenerate along a real curve
• Global analytic hypoellipticity of a class of degenerate elliptic operators on the torus
• On rotationally invariant vector fields in the plane
• Globally hypoelliptic systems of vector fields
• Homology and cohomology in hypo-analytic structures of the hypersurfaces type
• A similarity principle for complex vector fields and applications
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• Remarks about global analytic hypoellipticity
• Global properties of a class of planar vector fields of infinite type
• Elliptic planar vector fields with degeneracies
• Hypoelliptic Vector Fields and Continued Fractions
• Solvability of a first order linear partial differential equation
• Demarks about certain first-order linear pdf in two variables
• On planar elliptic structures with infinite type degeneracy

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