4 citations · 11 across the 18 of their papers we have counts for
22 papers
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…
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 Burgers equation in Sobolev spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we considered the Cauchy problem for the Burgers equation and proved that the problem is ill-posed in Sobolev spaces with $s\in[1,\fr32)$.
Non-uniform dependence on initial data for the 2D viscous shallow water equations
Jinlu Li, Yanghai Yu, Weipeng Zhu
The failure of uniform dependence on the data is an interesting property of classical solution for a hyperbolic system. In this paper, we consider the solution map of the Cauchy pr…
Non-uniform dependence for the two-component Camassa-Holm shallow water system
Jinlu Li, Yanghai Yu, Weipeng Zhu
In this paper, we consider the solution map of the initial value problem to the two-component Camassa-Holm equation on the line. We prove that the solution map of this problem is n…