Pullback attractors for nonclassical diffusion equations with delays

Abstract

In this paper, we prove the existence of pullback attractors in CH01(Ω) for a nonclassical diffusion equation with delay term g(t, ut) which contains some hereditary characteristics. We consider two types of nonlinearity f: one is the case of critical growth and the other one is the polynomial growth of arbitrary order p − 1(p ≥ 2).