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

Details Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion

2007-10-24

arxiv.org/abs/0710.4381v1

Acta Applicandae Mathematicae 102, 1 (2008) 37-56

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s10440-008-9207-5

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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