On the blow-up of solutions to a nonlinear dispersive rod equation

被引：8

作者：

Wahlen, Erik ^{[1
]}

机构：

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 02期

关键词：

convolution inequality; blow-up; nonlinear dispersive equation;

D O I：

10.1016/j.jmaa.2005.11.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a variational approach we prove an optimal nonlinear convolution inequality. This result is then applied to give criteria for finite-time blow-up of solutions to a nonlinear model equation in elasticity, improving considerably upon recent blow-up results. (c) 2005 Elsevier Inc. All rights reserved.

引用

收藏

页码：1318 / 1324

页数：7

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