Solution of the Dirichlet problem for the Laplace equation.
type: Item
instance of: scholarly article
title: Solution of the Dirichlet problem for the Laplace equation.
zbMATH Open document ID: 1060.35041
DOI: 10.1023/A:1022209421576
author: Dagmar Medková
published in: Applications of Mathematics
publication date: 2005-05-04T00:00:00Z
full work available at URL: https://eudml.org/doc/33030
review text: Both classical and generalized solutions of the Dirichlet problem on open subset of~\(\mathbb {R}^m\) with bounded cyclic variation are investigated. The solution is given in the form of a sum of the double layer potential and the single layer potential with the same density. The density is expressed in the form of the sum of a concrete series. In the case of the generalized solution the non-tangential limits of the solution are investigated.
reviewed by: Miroslav Dont
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 31B10
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 2165520
zbMATH Keywords: Laplace equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: single layer potential
zbMATH Keywords: double layer potential
zbMATH Keywords: non-smooth boundary
zbMATH Keywords: boundary behaviour
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2165520