Global existence for a system of weakly coupled nonlinear Schrodinger equations

被引：1

作者：

Shu, J. ^{[1
,2
]}

Zhang, J. ^{[2
]}

机构：

[1] Sichuan Normal Univ, Visual Comp & Virtual Real Key Lab Sichuan Prov, Chengdu 610066, Peoples R China

[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

来源：

MATHEMATICAL NOTES | 2009年 / 86卷 / 5-6期

关键词：

weakly coupled nonlinear Schrodinger equations; global existence; Gagliardo-Nirenberg inequality; Cauchy problem; Laplace operator; nonlinear optics; BIREFRINGENT OPTICAL-FIBERS; KLEIN-GORDON EQUATIONS; CAUCHY-PROBLEM; BLOW-UP;

D O I：

10.1134/S0001434609110078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper discusses the weakly coupled nonlinear Schrodinger equations in the supercritical case. With the best constant of the Gagliardo-Nirenberg inequality, we derive a sufficient condition for the global existence of solutions; this condition is expressed in terms of stationary solutions (nonlinear ground state).

引用

页码：650 / 654

页数：5

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