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.

引用

页数：22

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