Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations

Abstract

In this paper, we prove the existence and regularity of pullback attractors for non-autonomous nonclassical diffusion equations with nonlocal diffusion when the nonlinear term satisfies critical exponential growth and the external force term Under some appropriate assumptions, we establish the existence and uniqueness of the weak solution in the time-dependent space and the existence and regularity of the pullback attractors.