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Inertial manifolds for nonautomous infinite dimensional dynamical systems

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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.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433., Shanghai, P. R. China

    Wang Zongxing

  2. Department of Mathematics, Lanzhou University, 730000, Lanzhou, P. R. China

    Fan Xianling

  3. Department of Mathematics, Shanghai University, 200072, Shanghai, P. R. China

    Zhu Zhengyou

Authors
  1. Wang Zongxing
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  2. Fan Xianling
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  3. Zhu Zhengyou
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Additional information

Communicated by Cheng Changiun

Project supported by the National Natural Science Foundation of China

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Zongxing, W., Xianling, F. & Zhengyou, Z. Inertial manifolds for nonautomous infinite dimensional dynamical systems. Appl Math Mech 19, 695–704 (1998). https://doi.org/10.1007/BF02452378

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  • DOI: https://doi.org/10.1007/BF02452378

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