Translator Disclaimer
March/April 2014 Scattering for the critical 2-D NLS with exponential growth
Hajer Bahouri, Slim Ibrahim, Galina Perelman
Differential Integral Equations 27(3/4): 233-268 (March/April 2014).

Abstract

In this article, we establish in the radial framework the $H^1$-scattering for the critical 2-D nonlinear Schrödinger equation with exponential growth. Our strategy relies on both the a priori estimate derived in [10, 23] and the characterization of the lack of compactness of the Sobolev embedding of $H_{rad}^1(\mathbb R^2)$ into the critical Orlicz space ${\mathcal L}(\mathbb R^2)$ settled in [4]. The radial setting, and particularly the fact that we deal with bounded functions far away from the origin, occurs in a crucial way in our approach.

Citation

Download Citation

Hajer Bahouri. Slim Ibrahim. Galina Perelman. "Scattering for the critical 2-D NLS with exponential growth." Differential Integral Equations 27 (3/4) 233 - 268, March/April 2014.

Information

Published: March/April 2014
First available in Project Euclid: 30 January 2014

zbMATH: 1324.35167
MathSciNet: MR3161603

Subjects:
Primary: 35B33, 35B40, 35P25, 35Q55

Rights: Copyright © 2014 Khayyam Publishing, Inc.

JOURNAL ARTICLE
36 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.27 • No. 3/4 • March/April 2014
Back to Top