Non-uniform dependence on initial data for the two-component Novikov system

被引：16
|
作者：
Wang, Haiquan
Fu, Ying [1 ]
机构：
[1] Northwest Univ Xian, Sch Math, Xian 710069, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 02期
关键词：
BLOW-UP PHENOMENA; SHALLOW-WATER EQUATION; WELL-POSEDNESS; GLOBAL EXISTENCE; WAVE-BREAKING; CAUCHY-PROBLEM;
D O I：
10.1063/1.4976190
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Considered herein is the initial value problem for the two-component Novikov system. It is shown that the solution map of this problem is not uniformly continuous in Sobolev spaces H-s(R) x Hs-1(R) for s > 5/2 on the line. Based on the well-posedness result and the lifespan for this problem, the method of approximate solutions is utilized. Published by AIP Publishing.
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收藏
页数：22
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