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On the Study of Local Solutions for a Generalized Camassa‐Holm Equation

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  • Meng Wu

Abstract

The pseudoparabolic regularization technique is employed to study the local well‐posedness of strong solutions for a nonlinear dispersive model, which includes the famous Camassa‐Holm equation. The local well‐posedness is established in the Sobolev space Hs(R) with s > 3/2 via a limiting procedure.

Suggested Citation

  • Meng Wu, 2012. "On the Study of Local Solutions for a Generalized Camassa‐Holm Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:164876
    DOI: 10.1155/2012/164876
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    References listed on IDEAS

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    1. Nan Li & Shaoyong Lai & Shuang Li & Meng Wu, 2012. "The Local and Global Existence of Solutions for a Generalized Camassa‐Holm Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Nan Li & Shaoyong Lai & Shuang Li & Meng Wu, 2012. "The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-26, April.
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    Cited by:

    1. Haibo Yan & Ls Yong, 2014. "On the Study of Global Solutions for a Nonlinear Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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    2. Haibo Yan & Ls Yong, 2014. "On the Study of Global Solutions for a Nonlinear Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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