| INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS |
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| 作者姓名： | Li Xiang Zhu Jianmin Huang Jianhua |
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| 作者单位： | Dept. of Math，and System Sci.，Sci，School，National University of Defense Technology，Changsha 410073 |
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| 基金项目： | Supported by NNSF of China (10571175). |
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| 摘 要： | The present paper deals with the long-time behavior of a class of nonautonomous retarded semilinear parabolic differential equations. When the time delays are small enough and the spectral gap conditions hold, the inertial manifolds of the nonautonomous retard parabolic equations are constructed by using the Lyapunov-Perron method.
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INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS |
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| Li Xiang Zhu Jianmin Huang Jianhua.INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS[J].微分方程年刊(英文版),2006(3). |
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| Authors: | Li Xiang Zhu Jianmin Huang Jianhua |
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| Abstract: | The present paper deals with the long-time behavior of a class of nonautonomous retarded semilinear parabolic differential equations. When the time delays are small enough and the spectral gap conditions hold, the inertial manifolds of the nonautonomous retard parabolic equations are constructed by using the Lyapunov-Perron method. |
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| Keywords: | inertial manifold spectral gap condition nonautonomous evolution equation with delay |
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