Global well-posedness and scattering for the defocusing quintic NLS in three dimensions

Killip, Rowan; Vişan, Monica

doi:10.2140/apde.2012.5.855

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Global well-posedness and scattering for the defocusing quintic NLS in three dimensions

Rowan Killip and Monica Vişan

Vol. 5 (2012), No. 4, 855–885

DOI: 10.2140/apde.2012.5.855

Abstract

We revisit the proof of global well-posedness and scattering for the defocusing energy-critical NLS in three space dimensions in light of recent developments. This result was obtained previously by Colliander, Keel, Staffilani, Takaoka, and Tao.

Keywords

energy critical, nonlinear Schrödinger

Mathematical Subject Classification 2010

Primary: 35Q55

Milestones

Received: 5 March 2011

Revised: 12 May 2011

Accepted: 11 June 2011

Published: 27 November 2012

Authors

Rowan Killip
Department of Mathematics University of California Box 951555 Los Angeles, CA 90095-1555 United States

Monica Vişan
Department of Mathematics University of California Box 951555 Los Angeles, CA 90095-1555 United States

Vol. 5, No. 4, 2012