Global attractor and decay estimates of solutions to a class of nonlinear evolution equations |
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| Authors: | Caisheng Chen Hui Wang ShengLan Zhu |
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| Affiliation: | 1. Department of Mathematics, Hohai University, Nanjing 210098, Jiangsu, PR China;2. Department of Mathematics, Ili Normal University, Yining 835000, Xinjiang, PR China |
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| Abstract: | In this work, we prove the existence of global attractor for the nonlinear evolution equation utt?Δu?Δut?Δutt + g(x, u)=f(x) in X=(H2(Ω)∩H (Ω)) × (H2(Ω)∩H (Ω)). 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 (Ω) × H (Ω) for a similar equation. Further, the asymptotic behavior and the decay property of global solution are discussed. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear evolution equation global attractor asymptotic behavior of solution |
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