Normalization of complex-valued planar vector fields which degenerate along a real curve

DOI10.1016/S0001-8708(03)00139-7zbMath1129.35419OpenAlexW2090317486MaRDI QIDQ1826876

Paulo D. Cordaro, Xianghong Gong

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0001-8708(03)00139-7

zbMATH Keywords

Mizohata structuresNormal formsComplex vector fields in the real plane

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Analyticity in context of PDEs (35A20) Normal forms for dynamical systems (37G05)

Related Items

On first and second order planar elliptic equations with degeneracies ⋮ Analyticity and Smoothness for a Class of First Order Nonlinear PDEs ⋮ 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 ⋮ Solvability in the large and boundary value problems for Mizohata type operators ⋮ Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies ⋮ 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 ⋮ On the local solvability of vector fields with critical points ⋮ Global hypoellipticity for a class of pseudo-differential operators on the torus ⋮ Solvability near the characteristic set for a class of planar vector fields of infinite type. ⋮ Elliptic planar vector fields with degeneracies ⋮ Normalization and solvability of vector fields near trapped orbits ⋮ On the solvability of planar complex linear vector fields

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