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].

引用

页数：16

共 35 条

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