Regularity and finite dimensionality of attractor for plate equation on Rn

• 作 者: Hai-bin XIAO
• 机 构: Department of Mathematics
• 出 处: 应用数学和力学（英文版）
• 发表日期: 2004年期
• 关键词: global attractor plate equation regularity finite dimensionality unbounded domai
• 基金项目: the Scientific Research Fund of Zhejiang Provincial Education Department;the Natural Science Foundation of Ningbo City;the K.C.Wong Magna Fund in Ningbo University

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.