Regularity and finite dimensionality of attractor for plate equation on R^n  

作　　者：肖海滨 

机构地区：[1]Department of Mathematics,Ningbo University [2]Department of Mathematics,Nanjing University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第11期1453-1462,共10页应用数学和力学（英文版）

基　　金：Project Supported by the Scientific Research Fund of Zhejiang Provincial Education Department(No.Y200804289);the Natural Science Foundation of Ningbo City(No.2010A610102);the K.C.Wong Magna Fund in Ningbo University

摘　　要：This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.

关 键 词：global attractor plate equation REGULARITY finite dimensionality unbounded domain 

分 类 号：O175[理学—数学] O192[理学—基础数学]