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    On existence and uniqueness of the global weak solution for a shallow water equation

    Access Status
    Fulltext not available
    Authors
    Guo, Y.
    Lai, S.
    Wu, Yong Hong
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Guo, Yunxi and Lai, Shaoyong and Wu, Yonghong. 2012. On existence and uniqueness of the global weak solution for a shallow water equation. Applied Mathematics and Computations. 218 (23): pp. 11410-11420.
    Source Title
    Applied Mathematics and Computations
    DOI
    10.1016/j.amc.2012.05.029
    ISSN
    0096-3003
    URI
    http://hdl.handle.net/20.500.11937/39880
    Collection
    • Curtin Research Publications
    Abstract

    A shallow water equation including the Camassa–Holm and Degasperis–Procesi equations as special cases is investigated. Provided that initial value uo ε H1 (R), uo ε L1 (R), and (1 - 2x)uo does not change sign, the existence and uniqueness of global weak solution for the equation are established.

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