Xiaohuan Wang
Abstract:
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 Henan University Kaifeng 475001, China email: xhwangmaths@163.com Phone: 86+15226038672 |
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