Regularity of pullback attractors for nonautonomous nonclassical diffusion equations

In this paper, we consider the regularity of pullback attractors for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, under suitable assumptions, we prove that there exists a pullback attractor A={A(t)}t∈R in H01(Ω) for a nonautonomous nonclassical diffusion equation, and for each t∈R, A(t) is bounded in H2(Ω)∩H01(Ω).