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    The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)

    193833_98937_Wu-Global_weak_solutions.pdf (250.9Kb)
    Access Status
    Open access
    Authors
    Lai, S.
    Li, N.
    Wu, Yong Hong
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Lai, Shaoyong and Li, Nan and Wu, Yonghong. 2013. The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R). Boundary Value Problems. 2013: 26.
    Source Title
    Boundary Value Problems
    DOI
    10.1186/1687-2770-2013-26
    ISSN
    1687-2762
    Remarks

    This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/2.0/ Please refer to the licence to obtain terms for any further reuse or distribution of this work.

    URI
    http://hdl.handle.net/20.500.11937/11326
    Collection
    • Curtin Research Publications
    Abstract

    The existence of global weak solutions to the Cauchy problem for a weakly dissipative Camassa-Holm equation is established in the space C([0,∞)×R)nL∞([0,∞);H1(R)) under the assumption that the initial value u 0 (x) only belongs to the space H 1 (R) . The limit of viscous approximations, a one-sided super bound estimate and a space-time higher-norm estimate for the equation are established to prove the existence of the global weak solution.

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