Advances in Operator Theory

Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth

Hanen Hezzi

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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.

Article information

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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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35Q41: Time-dependent Schrödinger equations, Dirac equations

nonlinear Schrödinger system global well-posedness scattering blow-up Moser–Trudinger inequality


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.

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