Infinite propagation speed of the Camassa-Holm equation

被引：9

作者：

Lenells, Jonatan ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 02期

关键词：

shallow water equation; inverse scattering transform; infinite propagation speed; Camassa-Holm equation;

D O I：

10.1016/j.jmaa.2006.02.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the inverse scattering transform to show that a solution of the Camassa-Holm equation is identically zero whenever it vanishes on two horizontal half-lines in the x-t space. In particular, a solution that has compact support at two different times vanishes everywhere, proving that the Carnassa-Holm equation has infinite propagation speed. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1468 / 1478

页数：11

共 30 条

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