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Global wellposedness and scattering for the defocusing L²critical 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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Cited by 34 (7 self)
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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.
Global wellposedness and scattering for the mass critical nonlinear Schrödinger . . .
, 2013
"... ..."
Almost Morawetz estimates and global wellposedness for the defocusing L 2critical nonlinear Schrödinger equation in higher dimensions
, 2009
"... Abstract: In this paper, we consider the global wellposedness of the defocusing, L2 critical nonlinear Schrödinger equation in dimensions n ≥ 3. Using the Imethod, we show the problem is globally wellposed in n = 3 when s> 2 n−2 5, and when n ≥ 4, for s> n. We combine energy increments for ..."
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Cited by 5 (5 self)
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Abstract: In this paper, we consider the global wellposedness of the defocusing, L2 critical nonlinear Schrödinger equation in dimensions n ≥ 3. Using the Imethod, we show the problem is globally wellposed in n = 3 when s> 2 n−2 5, and when n ≥ 4, for s> n. We combine energy increments for the Imethod, interaction Morawetz estimates, and almost Morawetz estimates to prove the result. 1