On Initial Data Problem for a Periodic Two-Component b-Family System

被引:2
|
作者
Wang, Xiaohuan [1 ]
机构
[1] Nanjing Univ Informat Sci, Coll Math & Stat, Nanjing 210044, Peoples R China
关键词
Non-uniform dependence; b-Family system; Energy estimates; Initial value problem; CAMASSA-HOLM; NONUNIFORM DEPENDENCE; DEGASPERIS-PROCESI; GLOBAL EXISTENCE; WELL-POSEDNESS; BLOW-UP; EQUATION;
D O I
10.1007/s44198-022-00031-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the initial date problem for a periodic two-component b-family system. We prove that the solution map of the Cauchy problem of the b-family system is not uniformly continuous in H-s (S), s > 5/2.
引用
收藏
页码:171 / 185
页数:15
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