2 papers
math.AP2020
Non-uniform continuity on initial data for the two-component b-family system in Besov space
Xing Wu, Cui Li, Jie Cao
In this paper, we consider the Cauchy problem of a two-component b-family system, which includes the two-component Camassa-Holm system and the two-component Degasperis-Procesi syst…
math.AP2020
Non-uniform continuous dependence on initial data for a two_component Novikov system in Besov space
Xing Wu, Jie Cao
In this paper, we show that the solution map of the two-component Novikov system is not uniformly continuous on the initial data in Besov spaces $B_{p, r}^{s-1}(\mathbb{R})\times B…