The Hilbert boundary value problem for nonlinear elliptic systems-Reference-Cited by-同舟云学术

The Hilbert boundary value problem for nonlinear elliptic systems

Published:1983 Issue:1-2 Volume:94 Page:97-112
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Begehr Heinrich,Hsiao George C.

Abstract

SynopsisThe Hilbert boundary value problem for a first order nonlinear elliptic system in the plane with linear boundary conditions of nonnegative index is (under suitable side conditions uniquely) solved by use of the Newton imbedding method. This constructive method is based on an a priori estimate which arises from an integral representation formula for C1-functions first developed by Haack and Wendland. The approximation procedure yields an error estimate too.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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