The existence of weak solutions for a generalized Camassa-Holm equation
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2011Type
Journal Article
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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.
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Communications on Pure and Applied Analysis
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Department of Mathematics and Statistics
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