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math.AP2023
Ill-posedness for a generalized Camassa-Holm equation with higher-order nonlinearity in the critical Besov space
Wei Deng, Min Li, Xing Wu +1
In this paper, we prove that the Cauchy problem for a generalized Camassa-Holm equation with higher-order nonlinearity is ill-posed in the critical Besov space …
math.AP2023
On the continuity of the solution map of the Euler-Poincaré equations in Besov spaces
Min Li
By constructing a series of perturbation functions through localization in the Fourier domain and translation, we show that the data-to-solution map for the Euler-Poincaré equation…