Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion Article - Mai 2008

Carlos Alberto Raposo, Mauricio Sepulveda, Octavio Vera, Ducival Carvalho Pereira, Mauro Lima Santos

Carlos Alberto Raposo, Mauricio Sepulveda, Octavio Vera, Ducival Carvalho Pereira, Mauro Lima Santos, « Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion  », Acta Applicandae Mathematicae, mai 2008, pp. 37-56. ISSN 0167-8019

Abstract

This paper concerns with existence, uniqueness and asymptotic behavior of the solutions for a nonlocal coupled system of reaction-diffusion. We prove the existence and uniqueness of weak solutions by the Faedo-Galerkin method and exponential decay of solutions by the classic energy method. We improve the results obtained by Chipot-Lovato and Menezes for coupled systems. A numerical scheme is presented.

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