A note on coupled nonlinear Schrodinger equations

被引：10
|
作者：
Saanouni, Tarek [1 ]
机构：
[1] Univ Tunis El Manar, Fac Sci Tunis, Tunis 2092, Tunisia
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2014年 / 3卷 / 04期
关键词：
Nonlinear Schrodinger system; global well-posedness; scattering; blow-up; Moser-Trudinger inequality; GLOBAL WELL-POSEDNESS; 2 SPACE DIMENSIONS; EXPONENTIAL-GROWTH; STANDING WAVES; SCATTERING; INSTABILITY; TRUDINGER; INEQUALITY;
D O I：
10.1515/anona-2014-0015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the initial value problem for some coupled nonlinear Schrodinger equations in two space dimensions with exponential growth. We prove global well-posedness and scattering in the defocusing case. In the focusing sign, existence of non-global solution is discussed via the potential-well theory.
引用
收藏
页码：247 / 269
页数：23
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