UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS
The purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>Ω, i.e. u(x0, .) on [0, T ]; or a one-po...
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Universidad Católica del Norte, Departamento de Matemáticas
2004
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oai:scielo:S0716-091720040002000012004-09-29UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONSZEGHAL,AThe purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>Ω, i.e. u(x0, .) on [0, T ]; or a one-point boundary measurement, i.e. u(<IMG SRC="http:/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0, .) on [0, T ] with <IMG SRC="http:/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16><IMG SRC="http:/fbpe/img/proy/v23n2/letra.jpg" WIDTH=9 HEIGHT=16>Ω.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.23 n.2 20042004-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200001en10.4067/S0716-09172004000200001 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
description |
The purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>Ω, i.e. u(x0, .) on [0, T ]; or a one-point boundary measurement, i.e. u(<IMG SRC="http:/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0, .) on [0, T ] with <IMG SRC="http:/fbpe/img/proy/v23n2/x.gif" WIDTH=15 HEIGHT=16>0 <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16><IMG SRC="http:/fbpe/img/proy/v23n2/letra.jpg" WIDTH=9 HEIGHT=16>Ω. |
author |
ZEGHAL,A |
spellingShingle |
ZEGHAL,A UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS |
author_facet |
ZEGHAL,A |
author_sort |
ZEGHAL,A |
title |
UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS |
title_short |
UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS |
title_full |
UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS |
title_fullStr |
UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS |
title_full_unstemmed |
UNIQUENESS OF DETERMINATION OF THE UNKNOWN SOURCE TERM IN SOME MULTIDIMENSIONAL PARABOLIC EQUATIONS |
title_sort |
uniqueness of determination of the unknown source term in some multidimensional parabolic equations |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2004 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200001 |
work_keys_str_mv |
AT zeghala uniquenessofdeterminationoftheunknownsourceterminsomemultidimensionalparabolicequations |
_version_ |
1718439735551066112 |