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


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2007-04

AUTHORS

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

ABSTRACT

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. More... »

PAGES

511-522

References to SciGraph publications

  • 2002-11. Classical solutions of the periodic Camassa—Holm equation in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-006-0172-4

    DOI

    http://dx.doi.org/10.1007/s00220-006-0172-4

    DIMENSIONS

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