A note on coupled nonlinear Schrödinger equations

Advances in Nonlinear Analysis

article

Tarek Saanouni¹ 

[1] Faculty of Sciences of Tunis, University Tunis El Manar

关键词: Nonlinear Schrödinger system;    global well-posedness;    scattering;    blow-up;    Moser–Trudinger inequality;   

DOI  :  10.1515/anona-2014-0015

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We investigate the initial value problem for some coupled nonlinear Schrödinger 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.

【 授权许可】

CC BY