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arXiv:math/0604192 [math.AP]AbstractReferencesReviewsResources

Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation

A. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce, Yong Zhou

Published 2006-04-08, updated 2006-04-18Version 2

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.

Categories: math.AP, math-ph, math.MP
Subjects: 35Q53
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