Persistence properties and unique continuation of solutions of the Camassa-Holm equation

被引：248

作者：

Himonas, A. Alexandrou ^{[1
]}

Misiolek, Gerard

Ponce, Gustavo

Zhou, Yong

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[3] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[4] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 271卷 / 02期

关键词：

D O I：

10.1007/s00220-006-0172-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.

引用

页码：511 / 522

页数：12

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