Asymptotic Behavior of a Class of Degenerate Parabolic Equations

الملخص EN

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 H01,a(Ω), respectively, when H01,a(Ω) can be just compactly embedded into Lr(Ω) (r<2) but not L2(Ω).