Existence of exponential attractor to a family of problems dominated by a perturbation of $p(x)$-laplacian with localized large diffusion via the $l$-trajectories method

Vera Lúcia Carbone, Thays Regina Santana Couto

This article is devoted to the study of the existence of an exponential attractor for a family of problems, in which diffusion $d_{\lambda }$ blows up in localized regions inside the domain…