Remarks on the well-posedness of Camassa–Holm type equations in Besov spaces

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Ill-posedness of the Camassa–Holm and related equations in the critical space (2018, background): “Danchin [7] considered the local well-posedness in the Besov space, and proved well-posedness in Bsp,r if 1 ≤ p ≤ ∞, 1 ≤ r < ∞ and s > max{1 + 1/p, 3/2} (For continuous dependence, see Li and Yin [11]).”
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces (2020, methodology): “For the continuity of the solution map of the CH equation with respect to the initial data, it was proved by Li and Yin [28].”