Abstract
We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain Ω ⊂ ℝn (n⩾2) with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in L2(Ω), Lp(Ω), and , respectively, when can be just compactly embedded into Lr(Ω) (r < 2) but not L2(Ω).
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