Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 60, No. 4, pp. 455-471 (2003)

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Identifiability, Stability and Reconstruction Results of Sources by Interior Measurements

Serge Nicaise and Ouahiba Zaïr

Université de Valenciennes et du Hainaut Cambrésis,
MACS, ISTV, F-59313 Valenciennes Cedex 9 -- FRANCE
E-mail: snicaise@univ-valenciennes.fr
Université des Sciences et de la Technologie H. Boumediene,
Institut de Mathématiques, El-Alia, B.P. 32, Bab Ezzouar, Alger -- ALGERIA

Abstract: We consider the inverse problem of determining wave sources in bounded domains. We show that the interior observation on a part of the domain determines uniquely the sources if the time of observation is large enough. We further establish conditional stabilities for some particular unknown sources. We finally give a reconstructing scheme.

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Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.

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