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Comptes Rendus Mathématique
Volume 343, n° 3
pages 173-178 (août 2006)
Doi : 10.1016/j.crma.2006.06.022
Received : 8 January 2006 ;  accepted : 1 June 2006
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 dʼéquations paraboliques non-linéaires avec convergence faible en temps
 

Guy Barles
Laboratoire de mathématiques et physique théorique (UMR CNRS 6083), fédération Denis-Poisson, université de Tours, parc de Grandmont, 37200 Tours, France 

Abstract

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. To cite this article: G. Barles, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

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

Nous obtenons un nouveau résultat de stabilité pour les solutions de viscosité dʼéquations fortement non linéaires paraboliques dans le cas où lʼon nʼa quʼune convergence faible en temps pour les non-linéarités. Pour citer cet article : G. Barles, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

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


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