| 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.[点击复制] |
| ZHU Jianmin,LI Xiang,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[点击复制] |
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| 非自伴情形下时滞抛物方程的惯性流形 |
| 朱健民, 李祥, 黄建华 |
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(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。 |
| 关键词: 非自伴算子 时滞抛物方程 惯性流形 |
| DOI： |
| 投稿日期：2006-01-06 |
| 基金项目:国家自然科学基金资助项目(10571175) |
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| Inertial Manifolds of Parabolic Partial Differential Equations with Time Delays in the Non-self Adjoint Case |
| ZHU Jianmin, LI Xiang, HUANG Jianhua |
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(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. |
| Keywords: non-self adjoint operator parabolic equations with time delays inertial manifold |
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