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).
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页码：650 / 654
页数：5
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