Resumen de Solution and Asymptotic Behaviour for a Nonlocal Coupled System of Reaction-Diffusion

Carlos Alberto Raposo, Mauricio Sepúlveda, Octavio Vera Villagrán, Ducival Carvallo Pereira, Mauro Lima Santos

• This paper concerns with the existence, uniqueness and asymptotic behaviour 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.