Inertial manifolds for nonautomous infinite dimensional dynamical systems |
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| Authors: | Wang Zongxing Fan Xianling Zhu Zhengyou |
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| Institution: | (1) Institute of Mathematics, Fudan University, 200433. Shanghai, P. R. China;(2) Department of Mathematics, Lanzhou University, 730000 Lanzhou, P. R. China;(3) Department of Mathematics, Shanghai University, 200072 Shanghai, P. R. China |
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| Abstract: | In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is discussed. Under the spectral
gap condition, It is proved that there exist inertial manifolds for a class of nonautonomous evolution equations.
Project supported by the National Natural Science Foundation of China |
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| Keywords: | nonautonomous equations the spectral gap condition inertial |
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