Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1

By B. Dodson. 2010

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In this paper we prove global well-posedness and scattering for the defocusing, one dimensional mass-critical nonlinear Schr{\"o}dinger equation. We make use of a long-time Strichartz estimate and a frequency localized Morawetz estimate. This continues work begun in earlier papers for dimensions $d\geq 3$ and $d = 2$.

Subfields: Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3a00846816744c6bdc8439dfb0a835d384dc091a