Global well-posedness and global attractor of fourth order semilinear parabolic equation
Runzhang XuCollege of Automation; Harbin Engineering University; 150001 ChinaTianlong ChenCollege of Automation; Harbin Engineering University; 150001 ChinaChunmei LiuCollege of Automation; Harbin Engineering University; 150001 ChinaYunhua DingCollege of Science; Harbin Engineering University; 150001 China
2014en
ABI
Abstract
We study the initial boundary value problem of a class of fourth order semilinear parabolic equations. Global existence and nonexistence of solutions with initial data in the potential well are derived. Moreover, by using the iteration technique for regularity estimates, we obtain that for any k ≥ 0, the semilinear parabolic possesses a global attractor in Hk(Ω), which attracts any bounded subsets of Hk(Ω) in the Hk-norm. Copyright © 2014 John Wiley & Sons, Ltd.
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