English

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

Analysis of PDEs 2020-03-24 v1 Functional Analysis

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 Bp,rs(Rd),s>max{1+d2,32}B^s_{p,r}(\mathbb{R}^d),s>\max\{1+\frac d2,\frac32\}.

Keywords

Cite

@article{arxiv.2003.09623,
  title  = {Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces},
  author = {Jinlu Li and Wei Deng and Min Li},
  journal= {arXiv preprint arXiv:2003.09623},
  year   = {2020}
}