论文标题
Sobolev空间中Camassa-Holm方程的零滤波器极限
Zero-filter limit for the Camassa-Holm equation in Sobolev spaces
论文作者
论文摘要
本文的目的是回答\ cite {gl}中剩下的问题(Math。Z。(2015)281)。我们证明,Camassa-Holm方程的零过滤器极限是Sobolev空间与初始数据相同的拓扑拓扑的汉堡方程。
The aim of this paper is to answer the question left in \cite{GL} (Math. Z. (2015) 281). We prove that the zero-filter limit of the Camassa-Holm equation is the Burgers equation in the same topology of Sobolev spaces as the initial data.