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

Carlos Alberto Raposo (DEMAT. UFSJ), Mauricio Sepulveda (GI2MA), Octavio Vera, Ducival Carvalho Pereira (DEPMAT, UFPA), Mauro Lima Santos (DEPMAT, UFPA)
Arxiv ID: 0710.4381Last updated: 1/20/2023
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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