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Comptes Rendus Mathématique
Volume 351, n° 5-6
pages 191-196 (mars 2013)
Doi : 10.1016/j.crma.2013.04.001
Received : 22 November 2012 ;  accepted : 2 April 2013
Problème inverse pour une équation parabolique à coefficients périodiques non réguliers
Inverse problem for a parabolic equation with periodic and nonsmooth coefficients
 

Isma Kaddouri a, b , Djamel Eddine Teniou a
a Laboratoire dʼanalyse topologie probabilités, CNRS UMR 7353, université dʼAix–Marseille, France 
b Laboratoire dʼanalyse mathématique numérique des équations aux dérivées partielles, université Houari-Boumedienne, BP 32, El Allia Bab ezzouar, Alger, Algérie 

Résumé

On prouve un résultat de stabilité pour un problème inverse associé à une équation parabolique non linéaire périodique, en utilisant une inégalité de Carleman. Cette inégalité de stabilité concerne la reconstruction dʼun coefficient   en prenant un ouvert dʼobservation quelconque.

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

We prove a stability result for an inverse problem associated with a periodic nonlinear parabolic equation, by using a Carleman inequality. This stability inequality concerns the reconstruction of   coefficient, and is obtained thanks to an observation over an arbitrary open set of observation.

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

 Ce travail a été partiellement financé par le projet Tassili : 11 MDU 834.



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