Existence and Regularity of Pullback Attractors for a Non-autonomous Diffusion Equation with Delay and Nonlocal Diffusion in Time-Dependent Spaces

摘要

In this paper, we study the asymptotic behavior of solutions to a non-autonomous diffusion equations with delay containing some hereditary characteristics and nonlocal diffusion in time-dependent space C-Ht(Omega). When the nonlinear function f satisfies the polynomial growth of arbitrary order p - 1 (p >= 2) and the external force h. L-loc(2) (R; H-1(Omega)), we establish the existence and regularity of the time-dependent pullback attractors.