A note on coupled nonlinear Schrodinger equations

被引：9

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

页码：247 / 269

页数：23

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