Asymptotics of the solution of a boundary integral equation under a small perturbation of a corner
type: Item
instance of: scholarly article
title: Asymptotics of the solution of a boundary integral equation under a small perturbation of a corner
zbMATH Open document ID: 0779.35017
DOI: 10.4171/ZAA/615
author: Juan-Miguel Gracia
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1993-10-13T00:00:00Z
review text: Summary: The boundary integral equation of the Dirichlet problem is considered in a plane domain with a smooth boundary which is a small perturbation of a contour with an angular point. The asymptotics of the solution are given with respect to a perturbation parameter \(\varepsilon\). The problem studied in this article serves as an example of the use of a general method which is also applicable to the three-dimensional case, to the Neumann problem, and to problems of hydrostatics and easticity.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 31A10
zbMATH DE Number: 428742
zbMATH Keywords: small perturbations
zbMATH Keywords: boundary integral
zbMATH Keywords: plane domain
zbMATH Keywords: angular point
zbMATH Keywords: smooth boundary
zbMATH Keywords: double-layer potential
zbMATH Keywords: Dirichlet problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 428742