| 非自伴情形下时滞抛物方程的惯性流形 |
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| 引用本文： | 朱健民,李祥,黄建华.非自伴情形下时滞抛物方程的惯性流形[J].国防科技大学学报,2006,28(3):120-123. |
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| 作者姓名： | 朱健民 李祥 黄建华 |
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| 作者单位： | 国防科技大学,理学院,湖南,长沙,410073 |
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| 摘 要： | 利用Lyapunov-Perron方法在适当的谱间隙条件和适当小的时滞假设下,证明了一类非自伴算子情形下半线性时滞抛物方程惯性流形的存在性。
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| 关 键 词： | 非自伴算子 时滞抛物方程 惯性流形 |
| 文章编号： | 1001-2486(2006)03-0120-04 |
| 收稿时间： | 1/6/2006 12:00:00 AM |
| 修稿时间： | 2006年1月6日 |
Inertial Manifolds of Parabolic Partial Differential Equations with Time Delays in the Non-self Adjoint Case |
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| ZHU Jianmin,LI Xiang and HUANG Jianhua.Inertial Manifolds of Parabolic Partial Differential Equations with Time Delays in the Non-self Adjoint Case[J].Journal of National University of Defense Technology,2006,28(3):120-123. |
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| Authors: | ZHU Jianmin LI Xiang and HUANG Jianhua |
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| Institution: | College of Science, National Univ. of Defense Technology, Changsha 410073, China;College of Science, National Univ. of Defense Technology, Changsha 410073, China;College of Science, National Univ. of Defense Technology, Changsha 410073, China |
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| Abstract: | The present paper deals with the long time behavior of semilinear parabolic equations with time delays in the non-self adjoint case.Under the condition of right spectral gap and the assumption of properly small delay time,the existence of inertial manifolds is proved by Lyapunov-Perron method. |
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| Keywords: | non-self adjoint operator parabolic equations with time delays inertial manifold |
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