Asymptotic behavior of a class of nonlinear evolution equations |
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Authors: | Yongqin Xie Chengkui Zhong |
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Affiliation: | a School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan, 410076, PR China b School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, PR China |
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Abstract: | In this paper, using a new method (or technology), we prove the existence and upper semi-continuity of the global attractors Aω for a class of nonlinear evolution equations in D(A)×D(A), where the nonlinear term f satisfies a critical exponential growth condition. |
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Keywords: | Nonlinear evolution equation Global attractor Upper semi-continuity |
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