The approximate weak inertial manifolds of a class of nonlinear hyperbolic dynamical systems  

作　　者：赵怡 

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

出　　处：《Science China Mathematics》1996年第7期694-708,共15页中国科学：数学（英文版）

基　　金：National Natural Science Foundation of China;Foundation of Zhongshan University;Zhongshan University Advanced Research Centre.

摘　　要：Some concepts about approximate and semi-approximate weak inertial manifolds are introduced and the existence of global attractor and semi-approximate weak inertial manifolds is obtained for a class of nonlinear hyperbolic dynamical systems by means of some topologically homeomorphic mappings and techniques. Using these results, the existence of approximate weak inertial manifolds is also presented for a kind of nonlinear hyperbolic system arising from relativistic quantum mechanics. The regularization problem is proposed finally.Some concepts about approximate and semi-approximate weak inertial manifolds are introduced and the existence of global attractor and semi-approximate weak inertial manifolds is obtained for a class of nonlinear hyperbolic dynamical systems by means of some topologically homeomorphic mappings and techniques. Using these results, the existence of approximate weak inertial manifolds is also presented for a kind of nonlinear hyperbolic system arising from relativistic quantum mechanics. The regularization problem is proposed finally.

关 键 词：HYPERBOLIC dynamical systems APPROXIMATE WEAK INERTIAL manifolds. 

分 类 号：O19[理学—数学]