5 papers · 1 filter
Ill-posedness for the two component Degasperis-Procesi equation in critical Besov space
Jinlu Li, Min Li, Weipeng Zhu
In this paper, we study the Cauchy problem for the two component Degasperis-Procesi equation in critical Besov space . By presenting a new construction o…
Ill_posedness for a two_component Novikov system in Besov space
Xing Wu, Min Li
In this paper, we consider the Cauchy problem for a two-component Novikov system on the line. By specially constructed initial data in $B_{p, \infty}^{s-1}(\mathbb{R})…
Ill-posedness for the higher dimensional Camassa-Holm equations in Besov spaces
Min Li, Yingying Guo
In the paper, by constructing a initial data with , we prove that the corresponding solution to the higher dimensional…
Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces
Jinlu Li, Wei Deng, Min Li
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 conti…
Non-uniform dependence for the Novikov equation in Besov spaces
Jinlu Li, Min Li, Weipeng Zhu
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 initi…