Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
复制标题
Besov空间中Camassa-Holm型方程适定性的评述
DOI：
10.1016/j.jde.2016.08.031
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发表时间：
2016
影响因子：
2.4
通讯作者：
Yin Zhaoyang
中科院分区：
文献类型：
--
作者：
Li Jinlu;Yin Zhaoyang
本文利用Littlewood-Paley理论和Kato [37]和Danchin [21]介绍的方法，在Hadamard意义下，证明了非齐次Besov空间中Camassa-Holm型方程Cauchy问题的解映射连续依赖于初值.
In this paper, we prove the solution map of the Cauchy problem of Camassa–Holm type equations depends continuously on the initial data in nonhomogeneous Besov spaces in the sense of Hadamard by using the Littlewood–Paley theory and the method introduced by Kato [37] and Danchin [21].