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

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2006,（3）
• 页码范围: 304-309
• 页数: 6页
• 分类号: O17

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.