The Hilbert boundary value problem for nonlinear elliptic systems

DOI10.1017/S0308210500016188zbMath0532.35061MaRDI QIDQ3314256

Heinrich Begehr, George C. Hsiao

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimateHilbert boundary value problemintegral representation formulaapproximation procedurefirst order nonlinear elliptic system in the planelinear boundary conditions of nonnegative indexNewton imbedding method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems in the complex plane (30E25) Theoretical approximation in context of PDEs (35A35) Riemann-Hilbert problems in context of PDEs (35Q15) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (7)

A Priori Estimate for the Discontinuous Oblique Derivative Problem for Elliptic Systems ⋮ The Riemann-Hilbert boundary value problem for semilinear pseudoparabolic equations ⋮ On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity. ⋮ On nonlinear non-uniformly elliptic system of partial differential equations and BVP ⋮ A Newton-imbedding procedure for solutions of semilinear boundary value problems in Sobolev spaces ⋮ Remark on Hilbert's boundary value problem for Beltrami systems ⋮ Zum 80. Geburtstag von Wolfgang Haack

Cites Work

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• The hilbert problem for hyperanalytic functions
• Nonlinear boundary value problems of Riemann-Hilbert type
• Randwertaufgaben ganzzahliger charakterjstik für verailgemeinerte hyperanaiytische funktionen1
• Lösung nichtlinearer partieller Differentialgleichungssysteme erster Ordnung in der Ebene durch Verwendung einer komplexen Normalform
• On the error in the approximate solution of boundary value problems of nonlinear first order differential equations in the plane
• Allgemeine Randwertprobleme für Differentialgleichungen vom elliptischen Typus. Die Überführung des Randwertproblems für Systeme elliptischer Differentialgleichungen auf Fredholmsche Integralgleichungen. II

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