The Local Strong and Weak Solutions for a Nonlinear Dissipative Camassa-Holm Equation

Using the Kato theorem for abstract differential equations, the local well-posedness of the solution for a nonlinear dissipative Camassa-Holm equation is established in space C([0,T),Hs(R))∩C1([0,T),Hs-1(R)) with s>3/2. In addition, a sufficient condition for the existence of weak solutions of th...

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Bibliographic Details
Main Author: Shaoyong Lai
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/285040
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