Elliptic planar vector fields with degeneracies

DOI10.1090/S0002-9947-04-03658-XzbMath1246.35090MaRDI QIDQ5461384

Abdelhamid Meziani

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

normalizationBeltrami equationCR equationelliptic vector field

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Linear first-order PDEs (35F05) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (11)

On first and second order planar elliptic equations with degeneracies ⋮ 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 ⋮ Global solvability of real analytic complex vector fields in two variables ⋮ The Riemann–Hilbert problem for elliptic vector fields with degeneracies ⋮ Solvability near the characteristic set for a class of planar vector fields of infinite type. ⋮ 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 ⋮ On the solvability of planar complex linear vector fields ⋮ Cauchy integral operator in complex structures with degeneracies

Cites Work

• Global properties of a class of vector fields in the plane
• 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
• 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
• Demarks about certain first-order linear pdf in two variables
• On planar elliptic structures with infinite type degeneracy
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