Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 248, Issue 8, Pages 2038-2063Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2010.01.008
Keywords
Local well-posedness; Weak solution; Generalized Camassa-Holm equation; High order nonlinear terms; Pseudoparabolic regularization method
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Funding
- Chinese Ministry of Education [109140]
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A generalization of the Camassa-Holm equation, a model for shallow water waves, is investigated Using the pseudoparabolic regularization technique, its local well-posedness in Sobolev space H(s)(R) with s > 2 is established via a limiting procedure In addition, a sufficient condition for the existence of weak solutions of the equation in lower order Sobolev space H(s) with 1 < s <= 3/2 Is developed (C) 2010 Elsevier Inc All rights reserved
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