Ill-Posedness for the Cauchy Problem of the Modified Camassa-Holm Equation in B0∞,1

被引：0
作者：
He, Zhen [1 ]
Yin, Zhaoyang [1 ,2 ]
机构：
[1] Sun Yat sen Univ, Dept Math, Guangzhou 510275, Peoples R China
[2] Sun Yat sen Univ, Sch Sci, Shenzhen Campus, Shenzhen 518107, Peoples R China
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2024年 / 26卷 / 04期
基金：
中国国家自然科学基金;
关键词：
A modified Camassa-Holm equation; Ill-posedness; Norm inflation; SHALLOW-WATER EQUATION; WELL-POSEDNESS; GLOBAL EXISTENCE; WEAK SOLUTIONS; BLOWUP; TIME;
D O I：
10.1007/s00021-024-00903-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the norm inflation and get the ill-posedness for the modified Camassa-Holm equation in B-infinity(0),1. Therefore we completed all well-posedness and ill-posedness problem for the modified Camassa-Holm equation in all critical spaces B-1/p (p, 1) with p is an element of [1, infinity].
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页数：16
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