Global well-posedness for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space

Benjamin Dodson

Type: Preprint

Publication Date: 2020-04-20

Citations: 5

Locations

arXiv (Cornell University) - View

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Works Cited by This (8)

Action	Title	Year	Authors
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	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 cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain
+ PDF Chat	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space	2018	Benjamin Dodson
+	Global well-posedness and scattering for nonlinear Schr{\"o}dinger equations with algebraic nonlinearity when $d = 2, 3$, $u_{0}$ radial	2014	Benjamin Dodson
+	Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions	2009	Carlos E. Kenig Frank Merle