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20182022
most citedNon-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space

7 citations · 10 across the 12 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

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…

math.AP2020

Non-uniform continuity of the Fokas-Olver-Rosenau-Qiao equation in Besov spaces

Xing Wu

In this paper, we prove that the solution map of Fokas_Olver_Rosenau_Qiao equation (FORQ) is not uniformly continuous on the initial data in Besov spaces. Our result extends the pr…

math.AP2020

Non-uniform continuity of the generalized Camassa-Holm equation in Besov spaces

Jinlu Li, Xing Wu, Weipeng Zhu +1

In this paper, we consider the Cauchy problem for the generalized Camassa-Holm equation proposed by Hakkaev and Kirchev (2005) \cite{Hakkaev 2005}. We prove that the solution map o…

math.AP2020

Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space

Jinlu Li, Xing Wu, Yanghai Yu +1

Whether or not the data-to-solution map of the Cauchy problem for the Camassa-Holm equation and Novikov equation in the critical Besov space is not uniformly co…