INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS

INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS

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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. 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.

作者 Li Xiang Zhu Jianmin Huang Jianhua (Dept. of Math, and System Sci., Sci, School, National University of Defense Technology, Changsha 410073)

出处《Annals of Differential Equations》 2006年第3期304-309,共6页 微分方程年刊（英文版）

基金 Supported by NNSF of China (10571175).

关键词 inertial manifold spectral gap condition nonautonomous evolution equation with delay inertial manifold, spectral gap condition, nonautonomous evolution equation with delay

分类号 O175.2 [理学—基础数学]

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Annals of Differential Equations

2006年第3期

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INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS

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