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Global well-posedness and scattering for the defocusing L²-critical nonlinear Schrödinger equation when d = 1
, 2015
"... In this paper we prove global well- posedness and scattering for the defocusing, one dimensional mass- critical nonlinear Schrödinger equation. We make use of a long- time Strichartz estimate and a frequency localized Morawetz estimate. This continues work begun in [28] and [30] for dimensions d ≥ ..."
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In this paper we prove global well- posedness and scattering for the defocusing, one dimensional mass- critical nonlinear Schrödinger equation. We make use of a long- time Strichartz estimate and a frequency localized Morawetz estimate. This continues work begun in [28] and [30] for dimensions d ≥ 3 and d = 2 respectively.