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

Benjamin Dodson

Type: Preprint

Publication Date: 2014-01-01

Citations: 38

DOI: https://doi.org/10.48550/arxiv.1409.1950

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Works Cited by This (26)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Tools for PDE	2007	Michael E. Taylor
+	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
+	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
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey
+	The nonlinear Schrödinger equation with combined power-type nonlinearities	2005	Terence Tao Monica Vişan Xiaoyi Zhang