English

Non-uniform dependence for the Novikov equation in Besov spaces

Analysis of PDEs 2020-02-04 v1

Abstract

In this paper, we investigate the dependence on initial data of solutions to the Novikov equation. We show that the solution map is not uniformly continuous dependence on the initial data in Besov spaces Bp,rs(R), s>max{1+1p,32}B^s_{p,r}(\R),\ s>\max\{1+\frac 1p,\frac32\}.

Keywords

Cite

@article{arxiv.2002.00321,
  title  = {Non-uniform dependence for the Novikov equation in Besov spaces},
  author = {Jinlu Li and Min Li and Weipeng Zhu},
  journal= {arXiv preprint arXiv:2002.00321},
  year   = {2020}
}