Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

Benjamin Dodson

Type: Preprint

Publication Date: 2009-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.0909.0757

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Improved almost Morawetz estimates for the cubic nonlinear Schrödinger equation	2010	Benjamin Dodson
+	Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension	2009	Benjamin Dodson
+	Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $\R^2$	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+ PDF Chat	Improved Interaction Morawetz Inequalities for the Cubic Nonlinear Schrödinger Equation on ℝ2	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+	Almost Morawetz estimates and global well-posedness for the defocusing $L^2$-critical nonlinear Schr{ö}dinger equation in higher dimensions	2009	Benjamin Dodson
+	Improved interaction Morawetz inequalities for the cubic nonlinear Schr	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+ PDF Chat	Bilinear Strichartz estimates and applications to the cubic nonlinear Schrödinger equation in two space dimensions	2008	Hideo Takaoka
+	Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in $\R$	2007	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+	Almost sure local well-posedness for cubic nonlinear Schrodinger equation with higher order operators	2022	Jean‐Baptiste Casteras Juraj Földes Gennady Uraltsev
+	Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schrödinger equation in $\R$	2007	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+	Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decomposition	2009	Benjamin Dodson
+	Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}	2008	Jim Colliander Tristan Roy
+ PDF Chat	Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $R^2$	2010	J. Colliander Tristan Roy
+	Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d=2	2016	Benjamin Dodson
+	Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition	2012	Benjamin Dodson
+ PDF Chat	Interaction Morawetz estimate for the magnetic Schrödinger equation and applications	2014	J. Colliander Magdalena Czubak Jeonghun J. Lee
+	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
+	Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation	2021	Jia Shen Avy Soffer Yifei Wu

Works That Cite This (3)

Action	Title	Year	Authors
+	Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension	2009	Benjamin Dodson
+	Almost Morawetz estimates and global well-posedness for the defocusing $L^2$-critical nonlinear Schr{ö}dinger equation in higher dimensions	2009	Benjamin Dodson
+	Global well-posedness and scattering for the mass critical nonlinear Schr{\"o}dinger equation with mass below the mass of the ground state	2011	Benjamin Dodson

Works Cited by This (8)

Action	Title	Year	Authors
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	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
+ 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	Endpoint Strichartz estimates	1998	M. Keel Terence Tao
+	The Cauchy problem for the nonlinear Schrödinger equation in H1	1988	Thierry Cazenave Fred B. Weissler
+	Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $\R^2$	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+ PDF Chat	Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $R^2$	2010	J. Colliander Tristan Roy