Asymptotic Behavior of a Class of Degenerate Parabolic Equations

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Shan Ma, Hongtao Li

Published: 08 Dec 2012, Last Modified: 18 Jan 2026OpenReview Archive Direct UploadEveryoneCC BY-NC-ND 4.0
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 mathematical equation, respectively, when mathematical equation can be just compactly embedded into Lr(Ω) (r < 2) but not L2(Ω).