Global wellposedness of defocusing critical nonlinear Schrödinger equation

in the radial case

Author:
J. Bourgain

Journal:
J. Amer. Math. Soc. **12** (1999), 145-171

MSC (1991):
Primary 35Q55, 35L15.

MathSciNet review:
1626257

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Abstract | References | Similar Articles | Additional Information

Abstract: We establish global wellposedness and scattering for the -critical defocusing NLS in 3D

assuming radial data , . In particular, it proves global existence of classical solutions in the radial case. The same result is obtained in 4D for the equation

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Additional Information

**J. Bourgain**

Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540

Email:
bourgain@math.ias.edu

DOI:
http://dx.doi.org/10.1090/S0894-0347-99-00283-0

Keywords:
Nonlinear Schr\"{o}dinger equation,
global wellposedness.

Received by editor(s):
April 20, 1998

Article copyright:
© Copyright 1999
American Mathematical Society