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

2023/08/18 by He, Zhen, Yin, Zhaoyang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.09450

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≤ p<+∞. The obtained results improve considerably the recent result in \citeLuo1. Then we show the persiscence property of MOCH.

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