Dimension of kernel sections for damped nonautonomous wave equations with critical exponent

被引：1

作者：

Ban, Ailing ^{[1
]}

Zhou, Shengfan ^{[1
]}

Han, Xiaoying ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Appl Math, Shanghai 200234, Peoples R China

[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 01期

基金：

中国国家自然科学基金;

关键词：

boundary-value problems; critical exponents; group theory; set theory; wave equations; GLOBAL ATTRACTOR;

D O I：

10.1063/1.3050333

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, by using the boundedness of kernel sections in higher regular space, we obtain an uniform upper bound of Hausdorff dimension of the kernel sections for damped nonautonomous wave equation when the nonlinearity has a critically growing exponent, which improves the previous estimate of Hausdorff dimension of the kernel sections.

引用

页数：9

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