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

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2022年 / 29卷 / 01期

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

页码：171 / 185

页数：15

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