Layer potentials and boundary value problems for elliptic systems in Lipschitz domains
type: Item
instance of: scholarly article
title: Layer potentials and boundary value problems for elliptic systems in Lipschitz domains
zbMATH Open document ID: 0733.35034
DOI: 10.1016/0022-1236(91)90035-4
published in: Journal of Functional Analysis
publication date: 1991-01-01T00:00:00Z
review text: The author studies boundary value problems in Lipschitz domains for general second order linear elliptic systems of partial differential equations with constant coefficients. Suitable layer potential operators are constructed to show the unique solvability of the Dirichlet problem with boundary data in \(L^ p\)(\(\partial \Omega)\) for p close to 2; the method applies to elliptic systems whose coefficients satisfy the Legendre-Hadamard condition and a symmetry condition. The oblique derivative problem is also considered.
Mathematics Subject Classification ID: 35J55
zbMATH DE Number: 4212583
zbMATH Keywords: unique solvability
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: boundary data in \(L^ p\)
zbMATH Keywords: oblique derivative problem
author: Wenjie Gao
reviewed by: Jürgen Sprekels
MaRDI profile type: Publication
full work available at URL: 0022-1236(91)90035-4
OpenAlex ID: W2047836428
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description: scientific article; zbMATH DE number 4212583