Inertial Manifolds for Nonautonomous InfiniteDimensional Dynamical Systems

Wang Zongxing; Fan Xianling; Zhu Zhengyou

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(7): 649-657

Wang Zongxing, Fan Xianling, Zhu Zhengyou. Inertial Manifolds for Nonautonomous InfiniteDimensional Dynamical Systems[J]. Applied Mathematics and Mechanics, 1998, 19(7): 649-657.

Citation:

Wang Zongxing, Fan Xianling, Zhu Zhengyou. Inertial Manifolds for Nonautonomous InfiniteDimensional Dynamical Systems[J]. Applied Mathematics and Mechanics, 1998, 19(7): 649-657.

Citation:

Wang Zongxing, Fan Xianling, Zhu Zhengyou. Inertial Manifolds for Nonautonomous InfiniteDimensional Dynamical Systems[J]. Applied Mathematics and Mechanics, 1998, 19(7): 649-657.

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Inertial Manifolds for Nonautonomous InfiniteDimensional Dynamical Systems

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 Date: 1997-03-24
Publish Date: 1998-07-15

Abstract

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.
- nonautonomous equations,
- the spectral gap condition,
- inertialmanifold

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References(11)

References

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