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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 1
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Articles

The existence of global attractor for a fourth-order parabolic equation

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Pages 44-59 | Received 31 Oct 2010, Accepted 12 May 2011, Published online: 27 Jun 2011
 

Abstract

This article is concerned with a fourth-order parabolic equation. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that the fourth-order parabolic equation possesses a global attractor in H k (0 ≤ k < 5) space, which attracts any bounded subset of H k (Ω) in the H k -norm.

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Acknowledgements

The authors would like to thank the referees for the valuable comments and suggestions about this article.

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