The radial defocusing energy-supercritical NLS in dimension four

Chao Lu, Jiqiang Zheng

Type: Article

Publication Date: 2017-01-17

Citations: 8

DOI: https://doi.org/10.1016/j.jde.2017.01.005

View Publication

Locations

Journal of Differential Equations - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	The defocusing energy-supercritical NLS in four space dimensions	2014	Changxing Miao Jason Murphy Jiqiang Zheng
+	The defocusing energy-supercritical NLS in four space dimensions	2013	Changxing Miao Jason Murphy Jiqiang Zheng
+	Energy-supercritical NLS: critical $\dot H^s$-bounds imply scattering	2008	Rowan Killip Monica Vişan
+	Energy-Supercritical NLS: Critical<i>[Hdot]</i><sup><i>s</i></sup>-Bounds Imply Scattering	2010	Rowan Killip Monica Vişan
+ PDF Chat	The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions	2014	Jason Murphy
+	The radial defocusing nonlinear Schrödinger equation in three space dimensions	2014	Jason Murphy
+ PDF Chat	The defocusing quintic NLS in four space dimensions	2016	Benjamin Dodson Changxing Miao Jason Murphy Jiqiang Zheng
+ PDF Chat	Scattering theory for the defocusing fourth-order Schrödinger equation	2016	Changxing Miao Jiqiang Zheng
+	The radial defocusing nonlinear Schrödinger equation in three space dimensions	2014	Jason Murphy
+	Energy Critical NLS in two space dimensions	2008	Jim Colliander Slim Ibrahim Mohamed Majdoub Nader Masmoudi
+	The radial defocusing nonlinear Schr\"odinger equation in three space dimensions	2014	Jason Murphy
+	The defocusing energy-supercritical NLS in higher dimensions	2017	Teng Zhao
+ PDF Chat	ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS	2009	J. Colliander Sabrin R. M. Ibrahim Mohamed Majdoub Nader Masmoudi
+	The defocusing quintic NLS in four space dimensions	2015	Benjamin Dodson Changxing Miao Jason Murphy Jiqiang Zheng
+ PDF Chat	The defocusing energy-supercritical nonlinear wave equation in three space dimensions	2011	Rowan Killip Monica Vişan
+	The defocusing energy-supercritical nonlinear wave equation in three space dimensions	2010	Rowan Killip Monica Vişan
+	The defocusing energy-supercritical nonlinear wave equation in three space dimensions	2010	Rowan Killip Monica Vişan
+ PDF Chat	Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds	2023	Aynur Bulut
+ PDF Chat	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2007	Monica Vişan
+	The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions	2010	Rowan Killip Monica Vişan

Works That Cite This (8)

Action	Title	Year	Authors
+ PDF Chat	Numerical simulations for the energy-supercritical nonlinear wave equation	2020	Jason Murphy Yanzhi Zhang
+	Profile decomposition and scattering for general nonlinear Schrödinger equations	2024	Thomas Duyckaerts Phan van Tin
+	On scattering for the defocusing high dimensional inter-critical NLS	2018	Chuanwei Gao Zehua Zhao
+	On scattering for the defocusing high dimensional inter-critical NLS	2019	Chuanwei Gao Zehua Zhao
+ PDF Chat	Global well-posedness and scattering for the defocusing Ḣ1∕2-critical nonlinear Schrödinger equation in ℝ2	2021	Xueying Yu
+	The radial mass-subcritical NLS in negative order Sobolev spaces	2018	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+	Defocusing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>˙</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:msup></mml:math>-critical inhomogeneous nonlinear Schrödinger equations	2022	Ying Wang Chengbin Xu
+ PDF Chat	The Interctitical Defocusing Nonlinear Schrödinger Equations with Radial Initial Data in Dimensions Four and Higher	2019	Chuanwei Gao

Works Cited by This (40)

Action	Title	Year	Authors
+	Global well - posedness and scattering for the focusing, energy - critical nonlinear Schrödinger problem in dimension $d = 4$ for initial data below a ground state threshold	2014	Benjamin Dodson
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+ PDF Chat	Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$	2011	Benjamin Dodson
+	Global well-posedness and scattering for the defocusing cubic NLS in four dimensions	2010	Monica Vişan
+	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2007	Rowan Killip Monica Vişan Xiaoyi Zhang
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+	The defocusing energy-supercritical NLS in four space dimensions	2013	Changxing Miao Jason Murphy Jiqiang Zheng
+ PDF Chat	The Radial Defocusing Nonlinear Schrödinger Equation in Three Space Dimensions	2014	Jason Murphy
+	Energy-Supercritical NLS: Critical<i>[Hdot]</i><sup><i>s</i></sup>-Bounds Imply Scattering	2010	Rowan Killip Monica Vişan
+	The defocusing energy-supercritical nonlinear wave equation in three space dimensions	2010	Rowan Killip Monica Vişan