ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS

J. Colliander, Sabrin R. M. Ibrahim, Mohamed Majdoub, Nader Masmoudi

Type: Article

Publication Date: 2009-09-01

Citations: 60

DOI: https://doi.org/10.1142/s0219891609001927

Abstract

We investigate the initial value problem for a defocusing nonlinear Schrödinger equation with exponential nonlinearity [Formula: see text] We identify subcritical, critical, and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.

Locations

Journal of Hyperbolic Differential Equations - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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