Kernel sections for non-autonomous strongly damped wave equations

被引：21
|
作者：
Zhou, SF [1 ]
Fan, XM
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
[2] Univ Elect Sci & Technol China, Dept Appl Math, Chengdu 610054, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 275卷 / 02期
基金：
中国国家自然科学基金;
关键词：
wave equation; Kernel section; Hausdorff dimension; equivalent norm;
D O I：
10.1016/S0022-247X(02)00437-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of compact kernel sections for the process generated by a non-autonomous strongly damped wave equation with homogeneous Dirichlet boundary condition. We show that the upper bound of the Hausdorff dimension of sections decreases as the damping grows for large strong damping. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：850 / 869
页数：20
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