no. 3
Partial Differential Equations
A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time
[Un nouveau résultat de stabilité pour les solutions de viscosité d'équations paraboliques non-linéaires avec convergence faible en temps]

Présenté par : Pierre-Louis Lions

Barles, Guy1
1 Laboratoire de mathématiques et physique théorique (UMR CNRS 6083), fédération Denis-Poisson, université de Tours, parc de Grandmont, 37200 Tours, France
Comptes Rendus. Mathématique, Tome 343 (2006) no. 3, pp. 173-178.

Nous obtenons un nouveau résultat de stabilité pour les solutions de viscosité d'équations fortement non linéaires paraboliques dans le cas où l'on n'a qu'une convergence faible en temps pour les non-linéarités.

We present a new stability result for viscosity solutions of fully nonlinear parabolic equations which allows to pass to the limit when one has only weak convergence in time of the nonlinearities.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.06.022
Barles, Guy 1

1 Laboratoire de mathématiques et physique théorique (UMR CNRS 6083), fédération Denis-Poisson, université de Tours, parc de Grandmont, 37200 Tours, France 
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Barles, Guy. A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. Comptes Rendus. Mathématique, Tome 343 (2006) no. 3, pp. 173-178. doi : 10.1016/j.crma.2006.06.022. http://www.numdam.org/articles/10.1016/j.crma.2006.06.022/

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