,Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations

• 作 者: GUO Zhongkai YAN Xingjie YANG Xin-Guang
• 机 构: School of Mathematics and Statistics, South-Central University for Nationalities,Wuhan 430074, China
• 出 处: 偏微分方程（英文版）
• 发表日期: 2019年2期
• 关键词: Stochastic partial differential equation smooth stable invariant manifold geomet

Invariant manifolds are complicate random sets useful for describing and understanding the qualitative behavior of nonlinear dynamical systems.The purpose of the present paper is try to approximate smooth stable invariant manifolds for a type of stochastic partial differential equations with multiplicative white noise near the fixed point.Two examples are given to illustrate our results.