Convergent Families of Approximate Inertial Manifolds for Nonautonomous Evolution Equations

Wang Zongxing; Fan Xianling; Zhu Zhengyou

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(8): 715-724

Wang Zongxing, Fan Xianling, Zhu Zhengyou. Convergent Families of Approximate Inertial Manifolds for Nonautonomous Evolution Equations[J]. Applied Mathematics and Mechanics, 1998, 19(8): 715-724.

Citation:

Wang Zongxing, Fan Xianling, Zhu Zhengyou. Convergent Families of Approximate Inertial Manifolds for Nonautonomous Evolution Equations[J]. Applied Mathematics and Mechanics, 1998, 19(8): 715-724.

Citation:

Wang Zongxing, Fan Xianling, Zhu Zhengyou. Convergent Families of Approximate Inertial Manifolds for Nonautonomous Evolution Equations[J]. Applied Mathematics and Mechanics, 1998, 19(8): 715-724.

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Convergent Families of Approximate Inertial Manifolds for Nonautonomous Evolution Equations

1.
Institute of Mathematics, Fudan University, Shanghai 200433;Department of Mathematics, Lanzhou University, Lanzhou 730000, 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
Rev Recd Date: 1998-05-15
Publish Date: 1998-08-15

Abstract

Abstract

In this paper,the long time behavior of nonautonomous infinite dimensional dynamical systems is studied.A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.
- nonautonomous equation,
- approximate inertial manifold,
- spectral gap condition

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References(12)

References

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