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拟周期时滞耗散半线性波方程的惯性流形
  • 期刊名称：应用数学 2007年第2期
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]国防科技大学理学院数学与系统科学系,湖南长沙410073
  • 相关基金：国家自然科学基金资助项目（10571175）
  • 相关项目：强不定非线性椭圆问题与时滞非线性反应扩散方程研究
关键词： 斜积半流, 扩展相空间, 谱间隙条件, 惯性流形, Skew product, Extended phase space, Spectral gap condition, Inertial manifold
中文摘要：

本文研究了具有拟周期外力作用的时滞波方程解的长时间性态，利用斜积半流方法，在扩展相空间中将非自治系统提升成自治系统，利用算子半群理论及Lyapunov—Perron方法在一定的谱间隙条件和充分小的时滞假设下，证明了拟周期半线性时滞波方程惯性流形的存在性。

英文摘要：

The present paper deals with the long-time behavior of delayed semilinear wave equations with quasi-periodic terms. Using skew-product method ,the non-autonomous systems are lifted into the autonomous systems in the extened phase space Ca × T^k. Under some assumptions of delay time and the spectral gap condition, the existence of inertial manifolds is provided by Lyapunov-Perron method.

同期刊论文项目
强不定非线性椭圆问题与时滞非线性反应扩散方程研究
期刊论文 43 著作 1
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