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arXiv · 2308.09450

Persistence property and the local well-posedness of the modified Camassa-Holm equation in critical Besov equation

Zhen He·Zhaoyang Yin
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Abstract

In this paper, we first establish the local well-posednesss for the Cauchy problem of a modified Camassa-Holm (MOCH) equation in critical Besov spaces $B^{\frac 1 p}_{p,1}$ with $1\leq p<+\infty.$ The obtained results improve considerably the recent result in \cite{Luo1}. Then we show the persiscence property of MOCH.

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Zhen He, Zhaoyang Yin. 2023-08-18. Persistence property and the local well-posedness of the modified Camassa-Holm equation in critical Besov equation. https://arxiv.org/abs/2308.09450

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