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1 December 2016 Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d=2
Benjamin Dodson
Duke Math. J. 165(18): 3435-3516 (1 December 2016). DOI: 10.1215/00127094-3673888

Abstract

In this article we prove that the defocusing, cubic nonlinear Schrödinger initial value problem is globally well posed and scattering for u0L2(R2). The proof uses the bilinear estimates of Planchon and Vega and a frequency-localized interaction Morawetz estimate similar to the high-frequency estimate of Colliander, Keel, Staffilani, Takaoka, and Tao and especially the low-frequency estimate of Dodson.

Citation

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Benjamin Dodson. "Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d=2." Duke Math. J. 165 (18) 3435 - 3516, 1 December 2016. https://doi.org/10.1215/00127094-3673888

Information

Received: 11 April 2014; Revised: 31 January 2016; Published: 1 December 2016
First available in Project Euclid: 12 September 2016

zbMATH: 1361.35164
MathSciNet: MR3577369
Digital Object Identifier: 10.1215/00127094-3673888

Subjects:
Primary: 35Q55
Secondary: 35B30, 35P25

Rights: Copyright © 2016 Duke University Press

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Vol.165 • No. 18 • 1 December 2016
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