ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS-Reference-Cited by-同舟云学术

ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS

Published:2009-09 Issue:03 Volume:06 Page:549-575
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

COLLIANDER J.¹,IBRAHIM S.²,MAJDOUB M.³,MASMOUDI N.⁴

Affiliation:

1. Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada

2. Department of Mathematics and Statistics, Arizona State University, P. O. Box 871804, Tempe, AZ 85287-1804, USA

3. Faculté des Sciences de Tunis, Département de Mathématiques, Campus universitaire 1060, Tunis, Tunisia

4. Department of Mathematics, Courant Institute of Mathematical Sciences New York University, 251 Mercer St., New York, NY 10012, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891609001927

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