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Global attractor and decay estimates of solutions to a class of nonlinear evolution equations

✍ Scribed by Caisheng Chen; Hui Wang; ShengLan Zhu

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
199 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by X. Wang

In this work, we prove the existence of global attractor for the nonlinear evolution equation

. This improves a previous result of Xie and Zhong in (J. Math. Anal. Appl. 2007; 336:54-69.) concerning the existence of global attractor in H 1 0 (X)Γ—H 1 0 (X) for a similar equation. Further, the asymptotic behavior and the decay property of global solution are discussed.

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