Blow-up of solutions to a nonlinear dispersive rod equation

被引：0
|
作者：
Yong Zhou
机构：
[1] East China Normal University,Department of Mathematics
[2] The Chinese University of Hong Kong Shatin,The Institute of Mathematical Sciences
来源：
Calculus of Variations and Partial Differential Equations | 2006年 / 25卷
关键词：
Best constant; Convolution problem; Rod equation; Singularity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, firstly we find the best constant for a convolution problem on the unit circle via a variational method. Then we apply the best constant on a nonlinear rod equation to give sufficient conditions on the initial data, which guarantee finite time singularity formation for the corresponding solutions.
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页码：63 / 77
页数：14
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