This article concerns the study of some properties of the two-component Camassa-Holm system. By constructing two sequences of solutions of the two-component Camassa-Holm system, we prove that the solution map of the Cauchy problem of the two-component Camassa-Holm system is not uniformly continuous in , .
Submitted June 4, 2014. Published June 24, 2014.
Math Subject Classifications: 35G25, 35B30, 35L05.
Key Words: Non-uniform dependence; Camassa-Holm system; well-posedness; energy estimates; initial value problem.
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| Xiaohuan Wang |
College of Mathematics and Information Science
Kaifeng 475001, China
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