Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

Terence Tao, Monica Vişan, Xiaoyi Zhang

Type: Article

Publication Date: 2007-10-01

Citations: 179

DOI: https://doi.org/10.1215/s0012-7094-07-14015-8

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Locations

Duke Mathematical Journal - View
Duke Mathematical Journal - View

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+	Remarks on the Scattering problem for nonlinear Schrödinger equations	1987	Nakao Hayashi Yoshio Tsutsumi
+ PDF	Regularity of solutions to the free Schrödinger equation with radial initial data	2001	Mari Cruz Vilela
+	Ill-posedness for nonlinear Schrodinger and wave equations	2003	Michael Christ J. Colliander Terence Tao
+ PDF	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+	Existence of blow-up solutions in the energy space for the critical generalized KdV equation	2001	Frank Merle
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF	On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case	2006	Rémi Carles Sahbi Keraani
+ PDF	Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation	2007	Pascal Bégout Ana Vargas
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey
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+	A pseudoconformal compactification of the nonlinear Schrodinger equation and applications	2009	Terence Tao
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