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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1373-1378 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.022
Received : 17 April 2009 ;  accepted : 24 October 2009
Un résultat de stabilité pour la récupération d’un paramètre du système de la viscoélasticité 3D
A stability result for the recovery of a 3D viscoelasticity system coefficient
 

Maya de Buhan a, b , Axel Osses b
a UPMC Univ Paris 06, UMR 7598, laboratoire J.L. Lions, 75005 Paris, France 
b Universidad de Chile, UMI 2807, Centro de Modelamiento Matemático, Santiago, Chile 

Résumé

Dans cette Note, on démontre une inégalité de Carleman pour le système hyperbolique intégro-différentiel de la viscoélasticité et on utilise cette inégalité pour prouver un résultat de stabilité pour le problème inverse de récupération d’un coefficient viscoélastique à partir d’une seule mesure interne. Pour citer cet article : M. de Buhan, A. Osses, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Abstract

In this Note, we prove a Carleman’s estimate for the integro-differential hyperbolic system of the viscoelasticity problem and we use this estimate to obtain a stability result for the inverse problem of recovering a viscoelastic coefficient from a unique internal measure. To cite this article: M. de Buhan, A. Osses, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.

 Ce travail a été partiellement financé par CNRS, CONICYT, EGIDE, FONDECYT 1061263 et Math-AmSud CIP-EDP.



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