论文标题
两个组成的Camassa-Holm浅水系统的不均匀依赖性
Non-uniform dependence for the two-component Camassa-Holm shallow water system
论文作者
论文摘要
在本文中，我们将初始值问题的解决方案图考虑到了线上的两个组件Camassa-Holm方程。我们证明，此问题的解决方案映射在Sobolev Spaces $ H^s（\ r）\ times h^{s-1}（\ r）$中均不均匀地连续。$ s> 3/2 $。
In this paper, we consider the solution map of the initial value problem to the two-component Camassa-Holm equation on the line. We prove that the solution map of this problem is not uniformly continuous in Sobolev spaces $H^s(\R)\times H^{s-1}(\R)$ for $s>3/2$.
