非自治发展方程的收敛的逼近惯性流形族

王宗信; 范先令; 朱正佑

非自治发展方程的收敛的逼近惯性流形族

1.
复旦大学数学研究所, 上海 200433;
2.
兰州大学数学系, 兰州 730000;
3.
上海大学数学系, 上海 200072

基金项目: * 国家自然科学基金

详细信息

中图分类号: O175
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- 被引次数: 0
出版历程
- 收稿日期: 1997-03-24
- 修回日期: 1998-05-15
- 刊出日期: 1998-08-15

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

摘要

摘要: 本文讨论非自治无穷维动力系统的解的长时间行为.在谱间隙条件成立的情况下,对一类非自治发展方程,我们构造了一族收敛的逼近惯性流形.
- 非自治方程 /
- 逼近惯性流形 /
- 谱间隙条件
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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参考文献(12)

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