Existência e estabilidade de atratores exponenciais Pullback para uma classe de equações de reação-difusão não-autônomas.

Abstract

The main objective of this work is to investigate and prove the existence and stability of a family of exponential pullback attractors for a class of non-autonomous reaction-diffusion equations with nonlinearity fulfilling growth conditions and non-autonomous term in the set of bounded translation functions. Thus, we include this class of equations among the problems that admit such property, which allows a more detailed understanding of the asymptotic behavior of the solutions of the proposed model via evolution processes.