Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (7): 695-704.

• 论文 • 上一篇    

INERTIAL MANIFOLDS FOR NONAUTONOMOUS INFINITE DIMENSIONAL DYNAMICAL SYSTEMS

王宗信1, 范先令2, 朱正佑3   

  1. 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
  • 收稿日期:1997-03-24 出版日期:1998-07-18 发布日期:1998-07-18
  • 通讯作者: Cheng Changjun
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

INERTIAL MANIFOLDS FOR NONAUTONOMOUS INFINITE DIMENSIONAL DYNAMICAL SYSTEMS

Wang Zongxing1, Fan Xianling2, Zhu Zhengyou 3   

  1. 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
  • Received:1997-03-24 Online:1998-07-18 Published:1998-07-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

摘要: 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.

关键词: nonautonomous equations, the spectral gap condition, inertialmanifold

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.

Key words: nonautonomous equations, the spectral gap condition, inertialmanifold

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