An identification problem for an elliptic equation in two variables
type: Item
instance of: scholarly article
title: An identification problem for an elliptic equation in two variables
zbMATH Open document ID: 0662.35118
DOI: 10.1007/BF01790543
author: Giovanni Alessandrini
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1986-01-01T00:00:00Z
review text: We consider the elliptic equation div(a(x)grad u(x))\(=0\), \(x\in \Omega\), in which the coefficient a has to be determined when one solution u is known. Here \(\Omega\) is a bounded smooth domain in \({\mathbb{R}}^ 2\). This is a nonlinear ill-posed problem of identification. The results which are of main interest are uniqueness, stability and algorithms.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 4082165
zbMATH Keywords: bounded smooth domain
zbMATH Keywords: ill-posed
zbMATH Keywords: identification
zbMATH Keywords: uniqueness
zbMATH Keywords: stability
zbMATH Keywords: algorithms
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01790543
OpenAlex ID: W1984259047
description: scientific article; zbMATH DE number 4082165