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arXiv · 2003.09623

Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces

Jinlu Li·Wei Deng·Min Li
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Abstract

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 $B^s_{p,r}(\mathbb{R}^d),s>\max\{1+\frac d2,\frac32\}$.

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Jinlu Li, Wei Deng, Min Li. 2020-03-21. Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces. https://arxiv.org/abs/2003.09623

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