A note on coupled nonlinear Schrodinger equations

作者：Saanouni Tarek^*

来源：Advances in Nonlinear Analysis, 2014, 3(4): 247-269.

DOI：10.1515/anona-2014-0015

• Nonlinear Schrodinger system
• global well-posedness
• scattering
• blow-up
• Moser-Trudinger inequality

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.

• 出版日期2014-11