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

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 H t (Ω) . 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 (Ω) , we establish the existence and regularity of the time-dependent pullback attractors. [ABSTRACT FROM AUTHOR]

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