Dynamical behavior of nonclassical diffusion equation with perturbed parameter and memory

Abstract

In this paper, we mainly investigate the existence and regularity of uniform attractor for non-autonomous nonclassical diffusion equation with perturbed parameter and hereditary memory under more general assumptions on memory kernel k. In addition, the upper semicontinuity of this family of attractors with respect to perturbation parameters ν is also proved. In particular, the nonlinearity f satisfies the polynomial growth of arbitrary order.