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math.AP2022
Norm inflation and ill-posedness for the Fornberg-Whitham equation
Jinlu Li, Xing Wu, Yanghai Yu +1
In this paper, we prove that the Cauchy problem for the Fornberg-Whitham equation is not locally well-posed in with $(s,p,r)\in (1,1+\frac1p)\times[2,\infty)\times…
math.AP2022★ 2 cited
Nowhere-uniform continuity of the solution map of the Camassa-Holm equation in Besov spaces
Jinlu Li, Yanghai Yu, Weipeng Zhu
In the paper, we gave a strengthening of our previous work in [32] (J. Differ. Equ. 269 (2020)) and proved that the data-to-solution map for the Camassa-Holm equation is nowhere un…
math.AP2022
Ill_posedness for a two_component Novikov system in Besov space
Xing Wu, Min Li
In this paper, we consider the Cauchy problem for a two-component Novikov system on the line. By specially constructed initial data in $B_{p, \infty}^{s-1}(\mathbb{R})…