Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Hongtao Li and Shan Ma

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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 H01,a(Ω), respectively, when H01,a(Ω) can be just compactly embedded into Lr(Ω) (r

Date: 2012
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https://doi.org/10.1155/2012/673605

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:673605

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