Advances in Operator Theory
- Adv. Oper. Theory
- Volume 3, Number 3 (2018), 551-581.
Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth
The initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth is investigated. In the defocusing case, global well-posedness and scattering are obtained. In the focusing sign, global and nonglobal existence of solutions are discussed via potential well-method.
Adv. Oper. Theory, Volume 3, Number 3 (2018), 551-581.
Received: 7 September 2017
Accepted: 7 February 2018
First available in Project Euclid: 3 March 2018
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Hezzi, Hanen. Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth. Adv. Oper. Theory 3 (2018), no. 3, 551--581. doi:10.15352/aot.1709-1227. https://projecteuclid.org/euclid.aot/1520046045