Non-uniform dependence for the Novikov equation in Besov spaces

preprint2020arXivOpen access

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\}.

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