Comptes Rendus
no. 7
Partial Differential Equations
A stability estimate for ill-posed elliptic Cauchy problems in a domain with corners
[Une inégalité de stabilité pour les problèmes de Cauchy elliptiques mal posés dans un domaine comportant des coins]

Présenté par : Gilles Lebeau

Laurent Bourgeois1
1 Laboratoire POEMS, ENSTA, 32, boulevard Victor, 75739 Paris cedex 15, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 385-390.

Nous montrons dans cette Note une inégalité de stabilité pour les problèmes de Cauchy elliptiques mal posés dans un domaine comportant des coins. Ce résultat complète un résultat antérieur obtenu pour un domaine régulier.

We prove in this Note a stability estimate for ill-posed elliptic Cauchy problems in a domain with corners. This result completes an earlier result obtained for a smooth domain.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.09.014

Laurent Bourgeois 1

1 Laboratoire POEMS, ENSTA, 32, boulevard Victor, 75739 Paris cedex 15, France 
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Laurent Bourgeois. A stability estimate for ill-posed elliptic Cauchy problems in a domain with corners. Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 385-390. doi : 10.1016/j.crma.2007.09.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.09.014/

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