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INERTIAL MANIFOLDS FOR NONAUTONOMOUS INFINITE DIMENSIONAL DYNAMICAL SYSTEMS |
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| Authors: | Wang Zongxing Fan Xianling Zhu Zhengyou |
| Affiliation: | 1. Institute of Mathematics, Fudan University, Shanghai 200433, P.R.China;2. Department of Mathematics, Lanzhou University, Lanzhou 730000, P.R.China;3. Department of Mathematics, Shanghai University, Shanghai 200072, P.R.China |
| 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. |
| Keywords: | nonautonomous equations the spectral gap condition inertialmanifold |
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