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Non-uniform dependence for higher dimensional Camassa–Holm equations in Besov spaces
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2021-09-11 , DOI: 10.1016/j.nonrwa.2021.103420
Jinlu Li 1 , Wei Deng 1 , Min Li 2
Affiliation  

In this paper, we investigate the dependence on initial data of solutions to higher dimensional Camassa–Holm equations. We show that the data-to-solution map is not uniformly continuous dependence in Besov spaces.



中文翻译:

Besov 空间中高维 Camassa-Holm 方程的非均匀依赖

在本文中,我们研究了对高维 Camassa-Holm 方程解的初始数据的依赖性。我们表明数据到解决方案的映射在 Besov 空间中不是一致连续的。

更新日期:2021-09-12
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