Solvability of planar complex vector fields with homogeneous singularities

DOI10.1080/17476933.2017.1279611zbMath1198.35057arXiv1209.6613OpenAlexW2588570114MaRDI QIDQ3575860

Abdelhamid Meziani

Publication date: 28 July 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6613

zbMATH Keywords

Riemann-Hilbert problemvector fieldnormalizationsemilinear equationsfirst integralasymptotic directionshomogeneousCR equationinfinitesimal bendings of surfaces

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Nonlinear first-order PDEs (35F20) Series solutions to PDEs (35C10) Linear first-order PDEs (35F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Surfaces in Euclidean and related spaces (53A05) Riemann-Hilbert problems in context of PDEs (35Q15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Boundary value problems for linear first-order PDEs (35F15)

Related Items (3)

A class of planar vector fields with homogeneous singular points: solvability and boundary value problems ⋮ Solvability of a first order differential operator on the two-torus ⋮ Infinitesimal bendings for classes of two-dimensional surfaces

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