The existence of global attractor for a fourth-order parabolic equation |
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| Authors: | Xiaopeng Zhao |
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| Institution: | Department of Mathematics , Jilin University , Changchun 130012 , P.R. China |
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| 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?H k (Ω) in the H k -norm. |
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| Keywords: | global attractor fourth-order parabolic equation absorbing set ω-limit set |
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