Stability results for an inverse problem in potential theory
type: Item
instance of: scholarly article
title: Stability results for an inverse problem in potential theory
zbMATH Open document ID: 0731.31003
DOI: 10.1007/BF01766988
author: Elena Beretta
author: Sergio Vessella
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1990-01-01T00:00:00Z
review text: Let T be a bounded domain in \({\mathbb{R}}^ 2\) with \(C^{2,\lambda}\) boundary \((0<\lambda <1)\), let H be a domain such that \(\bar H\subset T\), and let \(\Gamma\) be a \(C^{3,\lambda}\) curve in H. This paper is concerned with stability results for an inverse problem which arises in electrocardiology. The problem is of the following form: given a function h defined on \(\partial T\), find \(\Gamma\) such that \(u_{\Gamma}\) (a function defined on \(T\setminus \Gamma\) in terms of an integral on \(\Gamma\)) agrees with h on \(\partial T\).
Mathematics Subject Classification ID: 31A25
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 4208476
zbMATH Keywords: stability
zbMATH Keywords: inverse problem
MaRDI profile type: Publication
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: Oblique dipole layer potentials applied to electrocardiology
cites work: Q5187597
cites work: Q4756585
cites work: Oblique double layer potentials for the direct and inverse problems of electrocardiology
cites work: Q5574224
cites work: Q5820804
cites work: Stability of a Surface Determined from Measures of Potential
cites work: Q4056957
cites work: Q5553508
cites work: On the stability and uniqueness of a solution of inverse problems of generalized potentials of a simple layer
full work available at URL: https://doi.org/10.1007/bf01766988
OpenAlex ID: W1967604401
description: scientific article; zbMATH DE number 4208476