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Xie, Y.Q. and Zhong, C.K. (2007) The Existence of Global Attractors for a Class Nonlinear Evolution Equation. Journal of Mathematical Analysis and Applications, 336, 54-69.
http://dx.doi.org/10.1016/j.jmaa.2006.03.086

被以下文章引用:

• 标题: 强阻尼波动方程的近似惯性流形Approximate Inertial Manifold of Strongly Damped Wave Equation

  作者: 张素方, 张建文

  关键字: 强阻尼, 近似惯性流形, 波动方程Strongly Damped, Approximate Inertial Manifold, Wave Equation

  期刊名称: 《Pure Mathematics》, Vol.5 No.6, 2015-11-27

  摘要: 本文主要研究了强阻尼波动方程的整体吸引子由光滑流形来逼近。构造了强阻尼波动方程的一个非线性近似惯性流形，并得到了该近似惯性流形逼近整体吸引子的阶数估计。 In this paper, the global attractor approximation by smooth manifold is considered in strongly damped equation. A nonlinear approximate inertial manifold of strongly damped wave equation is constructed. The order of approximation of the inertial manifold to the global attractor is obtained．