Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Comptes Rendus Mécanique Année : 2006

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications

Résumé

We study the observability and some of its consequences for the one-dimensional heat equation with a discontinuous coefficient (piecewise $\Con^1$). The observability, for a {\em linear} equation, is obtained by a Carleman-type estimate. This kind of observability inequality yields results of controllability to the trajectories for {\em semilinear} equations. It also yields a stability result for the inverse problem of the identification of the diffusion coefficient.
Fichier principal
Vignette du fichier
BDLR-06.pdf (148.77 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00463326 , version 1 (11-03-2010)

Identifiants

Citer

Assia Benabdallah, Yves Dermenjian, Jérôme Le Rousseau. Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications. Comptes Rendus Mécanique, 2006, 334 (10), pp.582-586. ⟨10.1016/j.crme.2006.07.001⟩. ⟨hal-00463326⟩
103 Consultations
191 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More