Regularity and finite dimensionality of attractor for plate equation on Rn

被引：0

作者：

Hai-bin Xiao

机构：

[1] Ningbo University,Department of Mathematics

[2] Nanjing University,Department of Mathematics

来源：

Applied Mathematics and Mechanics | 2010年 / 31卷

关键词：

global attractor; plate equation; regularity; finite dimensionality; unbounded domain; O175; O192; 35L20; 37C70; 58D25;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：1453 / 1462

页数：9

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