Existência de pullback atrator exponencial para uma família de problemas dominados por uma perturbação do p(x)-Laplaciano com difusão grande localizada, via método das l-trajetórias

Abstract

In this work, we use the method of l-trajectories to prove the existence of a family of exponential attractors for autonomous nonlinear reaction-diffusion equations, involving the p(x)-Laplacian with large localized diffusion. In the non-autonomous case, we use a generalization of the method of l-trajectories to guarantee the existence of a family of pullback exponential attractors.