Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation

被引：0
作者：
A. Alexandrou Himonas
Gerard Misiołek
Gustavo Ponce
Yong Zhou
机构：
[1] University of Notre Dame,Department of Mathematics
[2] University of California,Department of Mathematics
[3] East China Normal University,Department of Mathematics
[4] Institute des Hautes Éudes Scientifiques,undefined
来源：
Communications in Mathematical Physics | 2007年 / 271卷
关键词：
Compact Support; Strong Solution; Propagation Speed; Shallow Water Equation; Unique Continuation;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：511 / 522
页数：11
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