On the blowup for the $L^2$-critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class

Monica Vişan, Xiaoyi Zhang

Type: Preprint

Publication Date: 2006-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.math/0606737

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class	2007	Monica Vişan Xiaoyi Zhang
+	Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1	2004	Jim Colliander Sarah Raynor Catherine Sulem James Wright
+ PDF Chat	Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$	2005	J. Colliander Sarah Raynor Catherine Sulem James Wright
+	Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS	2008	Rowan Killip Dong Li Monica Vişan Xiaoyi Zhang
+	The focusing energy-critical nonlinear Schr\	2008	Rowan Killip Monica Vişan
+	The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher	2010	Rowan Killip Monica Vişan
+	Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension	2006	Nikolaos Tzirakis
+	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2007	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF Chat	Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension	2006	Nikolaos Tzirakis
+ PDF Chat	Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS	2009	Rowan Killip Dong Li Monica Vişan Xiaoyi Zhang
+	Low regularity blowup solutions for the mass-critical NLS in higher dimensions	2019	Chenmin Sun Jiqiang Zheng
+ PDF Chat	Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation	2014	Thomas Duyckaerts Svetlana Roudenko
+ PDF Chat	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2008	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The cubic nonlinear Schrödinger equation in two dimensions with radial data	2007	Rowan Killip Terence Tao Monica Vişan
+ PDF Chat	Minimal-mass blowup solutions of the mass-critical NLS	2008	Terence Tao Monica Vişan Xiaoyi Zhang
+	On the focusing mass-critical nonlinear fourth-order Schr\"odinger equation below the energy space	2017	Van Duong Dinh
+	On the focusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space	2017	Van Duong Dinh
+ PDF Chat	On the focusing mass-critical nonlinear fourth-order Schrodinger equation below the energy space	2017	Van Duong Dinh
+	The mass-critical fourth-order Schrodinger equation in high dimensions	2009	Benoît Pausader Shuanglin Shao
+ PDF Chat	THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS	2010	Benoît Pausader Shuanglin Shao

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Minimal-mass blowup solutions of the mass-critical NLS	2008	Terence Tao Monica Vişan Xiaoyi Zhang

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	On the generalized Korteweg-de Vries-type equations	1997	Gigliola Staffilani
+	Tools for PDE	2007	Michael E. Taylor
+ PDF Chat	Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$	2005	J. Colliander Sarah Raynor Catherine Sulem James Wright
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong
+	Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	Description of the lack of compactness for the Sobolev imbedding	1998	Patrick Gérard
+ PDF Chat	On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation	2004	Terence Tao
+	L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity	1990	Frank Merle Yoshio Tsutsumi