论文标题

关键BESOV空间中Camassa-Holm方程的初始数据的不均匀依赖性

Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space

论文作者

Li, Jinlu, Wu, Xing, Yu, Yanghai, Zhu, Weipeng

论文摘要

Camassa-Holm方程的Cauchy问题的数据到解决方案和novikov方程中的数据映射是否在关键的BESOV空间中$ b_ {2,1}^{3/2}(\ r)$都不均匀地保持打开。在本文中,我们旨在解决空旷的问题,将先前的作品留在\ cite {li3,li4}中,并对此问题给出积极的答案。

Whether or not the data-to-solution map of the Cauchy problem for the Camassa-Holm equation and Novikov equation in the critical Besov space $B_{2,1}^{3/2}(\R)$ is not uniformly continuous remains open. In the paper, we aim at solving the open question left the previous works in \cite{Li3,Li4} and give a positive answer to this problem.

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