The existence of a pullback attractor in L2 (Ω) for the following non-autonomous reaction-diffusion equation #### (1) is proved in this paper, when the domain Ω is not necessarily bounded but satisfying the Poincaré inequality, and h ∈ Lloc2(ℝ; H−1 (Ω)). The main concept used in the proof is the asymptotic compactness of the process generated by the problem.
pullback attractor asymptotic compactness evolution process non-autonomous reaction-diffusion equation
AMS subject classifications
35B41 35Q35 35Q30 35K90 37L30
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