The Inertial Manifolds of Infinite-dimensional Dynamical Systems Governed by a Class of Nonlinear Parabolic Variational Inequalities  

作　　者：赵怡 

机构地区：[1]Department of Mathematics, Zhongshan University, Guangzhou 510275, PRC

出　　处：《Science China Mathematics》1994年第10期1153-1171,共19页中国科学：数学（英文版）

基　　金：Project partly supported by the National Natural Science Foundation of China and The Foundation of Zhongshan University Advanced Research Centre and Earmaked Grant CUHK 25/91.

摘　　要：The sufficient conditions for the existence of inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities are obtained via Yosida approximating method. The influence on inertial manifold under control is also discussed and an example is given.The sufficient conditions for the existence of inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities are obtained via Yosida approximating method. The influence on inertial manifold under control is also discussed and an example is given.

关 键 词：INERTIAL MANIFOLDS DYNAMICAL systems. 

分 类 号：O19[理学—数学]