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Ill-posedness for the Cauchy problem of the Camassa-Holm equation in
Yingying Guo, Weikui Ye, Zhaoyang Yin
For the famous Camassa-Holm equation, the well-posedness in with and the ill-posedness in $B^{1+\frac{1}{p}}_{p,r}(\mathbb{…
The continuous dependence and non-uniform dependence of the rotation Camassa-Holm equation in Besov spaces
Yingying Guo, Xi Tu
In this paper, we first establish the local well-posedness and continuous dependence for the rotation Camassa-Holm equation modelling the equatorial water waves with the weak Corio…
The well-posedness, ill-posedness and non-uniform dependence on initial data for the Fornberg-Whitham equation in Besov spaces
Yingying Guo
In this paper, we first establish the local well-posedness (existence, uniqueness and continuous dependence) for the Fornberg-Whitham equation in both supercritical Besov spaces $B…
Ill-posedness for the higher dimensional Camassa-Holm equations in Besov spaces
Min Li, Yingying Guo
In the paper, by constructing a initial data with , we prove that the corresponding solution to the higher dimensional…
A new result for the local well-posedness of the Camassa-Holm type equations in critial Besov spaces
Weikui Ye, Zhaoyang Yin, Yingying Guo
For the famous Camassa-Holm equation, the well-posedness in with and the ill-posedness in …