Mourad Bellassoued ; Bochra Riahi - Inverse heat source problem for a coupled hyperbolic-parabolic system

arima:1487 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, December 13, 2016, Volume 23 - 2016 - Special issue for LEM2I 2016 - https://doi.org/10.46298/arima.1487
Inverse heat source problem for a coupled hyperbolic-parabolic system

Authors: Mourad Bellassoued ; Bochra Riahi

Dans ce papier, on a prouvé une estimation de stabilité de type Höldérienne pour un problème inverse de détermination du terme source de l'équation de la chaleur à l'aide d'une inégalité de Carleman pour un système d'équations hyperbolique-parabolique couplé. ABSTRACT. In this paper we consider a coupled system of mixed hyperbolic-parabolic type which describes the Biot consolidation model in poro-elasticity. Using a local Carleman estimate for a coupled hyperbolic-parabolic system, we prove the uniqueness and a Hölder stability in determining the heat source by a single measurement of solution over ω × (0, T), where T > 0 is a sufficiently large time and a suitable subbdomain ω ⊂ Ω such that ∂ω ⊃ ∂Ω. MOTS-CLÉS : Problème inverse, estimation de Carleman, système couplet


Volume: Volume 23 - 2016 - Special issue for LEM2I 2016
Published on: December 13, 2016
Submitted on: December 13, 2016
Keywords: coupled system,Carleman estimate,Inverse problem,[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]


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