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    The existence of weak solutions for a generalized Camassa-Holm equation

    Access Status
    Open access via publisher
    Authors
    Lai, S.
    Xie, Q.
    Guo, Y.
    Wu, Yong Hong
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Lai, Shaoyong and Xie, Qichang and Guo, Yunxi and Wu, Yong Hong. 2011. The existence of weak solutions for a generalized Camassa-Holm equation. Communications on Pure and Applied Analysis. 10 (1): pp. 45-57.
    Source Title
    Communications on Pure and Applied Analysis
    DOI
    10.3934/cpaa.2011.10.45
    ISSN
    15340392
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/5397
    Collection
    • Curtin Research Publications
    Abstract

    A Camassa-Holm type equation containing nonlinear dissipative effect is investigated. A sufficient condition which guarantees the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 <= s <= 3/2 is established by using the techniques of the pseudoparabolic regularization and some prior estimates derived from the equation itself.

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