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

• Autores: Carlos Alberto Raposo, Mauricio Sepúlveda, Octavio Vera Villagrán, Ducival Carvallo Pereira, Mauro Lima Santos
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 102, Nº. 1, 2008, págs. 37-56
• Idioma: inglés
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• Resumen

  • 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.