Energy Critical NLS in two space dimensions

Jim Colliander, Slim Ibrahim, Mohamed Majdoub, Nader Masmoudi

Type: Preprint

Publication Date: 2008-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.0806.2979

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS	2009	J. Colliander Sabrin R. M. Ibrahim Mohamed Majdoub Nader Masmoudi
+	Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness	2018	Abdelwahab Bensouilah Dhouha Draouil Mohamed Majdoub
+	Energy-supercritical NLS: critical $\dot H^s$-bounds imply scattering	2008	Rowan Killip Monica Vişan
+ PDF Chat	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2007	Monica Vişan
+	The radial defocusing energy-supercritical NLS in dimension four	2017	Chao Lu Jiqiang Zheng
+ PDF Chat	Energy-Critical NLS with Quadratic Potentials	2009	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2005	Monica Vişan
+	Numerical simulations of the energy- supercritical Nonlinear Schrödinger equation	2009	J. Colliander Gideon Simpson Catherine Sulem
+ PDF Chat	NUMERICAL SIMULATIONS OF THE ENERGY-SUPERCRITICAL NONLINEAR SCHRÖDINGER EQUATION	2010	J. Colliander Gideon Simpson Catherine Sulem
+	Energy critical Schrödinger equation with weighted exponential nonlinearity I: Local and global well-posedness	2017	Abdelwahab Bensouilah Dhouha Draouil Mohamed Majdoub
+ PDF Chat	Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds	2023	Aynur Bulut
+	Energy-Supercritical NLS: Critical<i>[Hdot]</i><sup><i>s</i></sup>-Bounds Imply Scattering	2010	Rowan Killip Monica Vişan
+	The defocusing energy-supercritical NLS in four space dimensions	2013	Changxing Miao Jason Murphy Jiqiang Zheng
+	Scattering for the two-dimensional NLS with exponential nonlinearity	2012	Slim Ibrahim Mohamed Majdoub Nader Masmoudi Kenji Nakanishi
+	The defocusing energy-supercritical NLS in four space dimensions	2014	Changxing Miao Jason Murphy Jiqiang Zheng
+	Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions	2011	Monica Vişan
+ PDF Chat	Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation	2023	Ruobing Bai Jia Shen Yifei Wu
+	Stability of energy-critical nonlinear Schrödinger equations in high dimensions	2005	Terence Tao Monica Vişan
+ PDF Chat	A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential	2008	Terence Tao
+	Stability of energy-critical nonlinear Schr\"odinger equations in high dimensions	2005	Terence Tao Monica Vişan

Works That Cite This (1)

Action	Title	Year	Authors
+	Scattering for the two-dimensional NLS with exponential nonlinearity	2012	Slim Ibrahim Mohamed Majdoub Nader Masmoudi Kenji Nakanishi

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+ PDF Chat	Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents	1999	Shinji Adachi Kazunaga Tanaka
+	Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>	2004	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Bilinear virial identities and applications	2007	Fabrice Planchon Luis Vega
+	Ill-posedness of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-supercritical waves	2007	Slim Ibrahim Mohamed Majdoub Nader Masmoudi
+	Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order	1998	Makoto Nakamura Tohru Ozawa
+ PDF Chat	A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces	2007	Herbert Koch Daniel Tataru
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain
+ PDF Chat	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	Double logarithmic inequality with a sharp constant	2006	Slim Ibrahim Mohamed Majdoub Nader Masmoudi