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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
    Collection
    • Curtin Research Publications
    Type
    Journal Article
    Metadata
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    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.

    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
    URI
    http://hdl.handle.net/20.500.11937/5397
    DOI
    10.3934/cpaa.2011.10.45
    Department
    Department of Mathematics and Statistics

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