4 citations · 15 across the 37 of their papers we have counts for
7 papers · 2 filters
Non-uniform dependence on initial data for the Camassa--Holm equation in Besov spaces: Revisited
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we revisit the uniform continuity properties of the data-to-solution map of the Camassa--Holm equation on the real-line case. We show that the data-to-solution map of…
Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we consider the Cauchy problem for the generalized Camassa-Holm equation that includes the Camassa-Holm as well as the Novikov equation on the line. We present a new…
Well-posedness and Continuity Properties of the Degasperis-Procesi equation in critical Besov space
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we obtain the local-in-time existence and uniqueness of solution to the Degasperis-Procesi equation in . Moreover, we prove that the data-to-solu…
Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space
Xing Wu, Yanghai Yu, Yu Xiao
Considered in this paper is the generalized Camassa-Holm-Novikov equation with high order nonlinearity, which unifies the Camassa-Holm and Novikov equations as special cases. We sh…
Ill-posedness for the Camassa-Holm and related equations in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we give a construction of such that corresponding solution to the Camassa-Holm equation starting from is discontinuous at in th…
Ill-posedness for the Euler equations in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we consider the Cauchy problem to the Euler equations in with . We construct an initial data showing that the correspon…