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Comptes Rendus Mathématique
Volume 345, n° 9
pages 489-493 (novembre 2007)
Doi : 10.1016/j.crma.2007.10.004
Received : 6 June 2007 ;  accepted : 28 September 2007
Reaction-diffusion equations in space-time periodic media
Équations de réaction-diffusion en milieu périodique en temps et en espace
 

Grégoire Nadin
Département de mathématiques et applications, École normale supérieure, 45, rue dʼUlm, Paris 75005, France 

Abstract

This Note deals with reaction-diffusion in space-time periodic media. We state some conditions for the existence, uniqueness and large-time behavior of the solutions of such equations. These conditions are related to the two generalized principal eigenvalues associated with a linearized equation and we state some properties of these quantities. To cite this article: G. Nadin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

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

Cette Note traite des équations de réaction-diffusion en milieu périodique à la fois en temps et en espace. Nous établissons des conditions dʼexistence, dʼunicité et de convergence en temps grand pour les solutions de telles équations. Ces conditions sont établies en fonctions de deux valeurs propres principales généralisées associées à une équation linéarisée. Nous établissons plusieurs propriétés de ces deux quantités. Pour citer cet article : G. Nadin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

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


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