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Asymptotic behavior of a class of nonlinear evolution equations
Authors:Yongqin Xie  Chengkui Zhong
Institution: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
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(AD(A), where the nonlinear term f satisfies a critical exponential growth condition.
Keywords:Nonlinear evolution equation  Global attractor  Upper semi-continuity
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