Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm

J. Colliander, M. Keel, Gigliola Staffilani, Hideo Takaoka, Terence Tao

Type: Article

Publication Date: 2003-01-01

Citations: 16

DOI: https://doi.org/10.3934/cpaa.2003.2.33

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Locations

Communications on Pure &amp Applied Analysis - View
arXiv (Cornell University) - PDF
arXiv (Cornell University) - View
Communications on Pure &amp Applied Analysis - View
arXiv (Cornell University) - PDF
arXiv (Cornell University) - View
Communications on Pure &amp Applied Analysis - View
arXiv (Cornell University) - PDF
arXiv (Cornell University) - View

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+	Global Well-Posedness for the $L^2$-critical nonlinear Schrödinger equation in higher dimensions	2006	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+ PDF Chat	Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger Equations	2013	Zaher Hani
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+ PDF	Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$	2005	J. Colliander Sarah Raynor Catherine Sulem James Wright
+	Global well-posedness for the $L^2$ critical nonlinear Schrödinger equation in higher dimensions	2007	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+	Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations	2013	Brian Pigott
+ PDF	Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$	2008	J. Colliander Justin Holmer Monica Vişan Xiaoyi Zhang
+ PDF	Global well-posedness and scattering for a class of nonlinear Schröodinger equations below the energy space	2009	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	Scattering theory below energy space for two-dimensional nonlinear Schrödinger equation	2014	Changxing Miao Jiqiang Zheng

Works Cited by This (23)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power	1993	Franck Merle
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Local and global well-posedness of wave maps on $\R^{1+1}$ for rough data	1998	Marcus Keel Terence Tao
+	GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong
+	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
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein
+	Energy Scattering for Nonlinear Klein–Gordon and Schrödinger Equations in Spatial Dimensions 1 and 2	1999	Kenji Nakanishi
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein