4 citations · 10 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Non-uniform dependence on initial data for the Euler equations in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we consider the initial value problem to the higher dimensional Euler equations in the whole space. Based on the new technical which is developed in \cite{Li2}, we pr…
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we consider the initial value problem to the Camassa-Holm equation in the real-line case. Based on the local well-posedness result and the lifespan, we proved that th…
An Extension of Tychonoff Fixed Point Theorem
Jinlu Li
In this paper, we introduce the concepts of weaknorm, quasi-weaknorm on real vector spaces. By these concepts, we introduce the concept of quasi-locally convex topological vector s…