A multiple-layer potential theory alternative to Agmon's
type: Item
instance of: scholarly article
title: A multiple-layer potential theory alternative to Agmon's
zbMATH Open document ID: 0781.31007
DOI: 10.1007/BF00380320
author: A. Cialdea
published in: Archive for Rational Mechanics and Analysis
publication date: 1993-09-07T00:00:00Z
review text: The author builds new multiple-layer potentials for a higher-order elliptic equation with constant coefficients in the plane. Properties of the potentials, for example the ``jump relations'', are studied. The Dirichlet problem for a plane domain bounded by a smooth contour is reduced to a system of singular integral equations. It permits to study existence and uniqueness of the Dirichlet problem.
Mathematics Subject Classification ID: 31B10
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 410088
zbMATH Keywords: jump relations
zbMATH Keywords: multiple-layer potentials
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
cites work: Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I
cites work: Q3847188
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description: scientific article; zbMATH DE number 410088