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