论文标题
对BESOV空间中Camassa-Holm方程的初始数据的非均匀依赖性
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
论文作者
论文摘要
在本文中，我们考虑了在现实情况下的Camassa-Holm方程的初始值问题。基于局部良好的结果和寿命，我们证明了该问题的数据到解决图在非均匀的BESOV空间中并非统一连续。我们获得的结果大大改善了\ cite {h-k}的结果。
In the paper, we consider the initial value problem to the Camassa-Holm equation in the real-line case. Based on the local well-posedness result and the lifespan, we proved that the data-to-solution map of this problem is not uniformly continuous in nonhomogeneous Besov spaces in the sense of Hadamard. Our obtained result improves considerably the result in \cite{H-K}.
