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• W2964019929 abstract "In this paper we prove that the focusing, d-dimensional mass critical nonlinear Schrödinger initial value problem is globally well-posed and scattering for u0∈L2(Rd), ‖u0‖L2(Rd)<‖Q‖L2(Rd), where Q is the ground state, and d≥1. We first establish an interaction Morawetz estimate that is positive definite when ‖u0‖L2(Rd)<‖Q‖L2(Rd), and has the appropriate scaling. Next, we will prove an interaction Morawetz estimate localized to low frequencies, similar to the estimates made in [13], [14], [15]. See also [12] for localization to high frequencies in the energy critical case." @default.
• W2964019929 created "2019-07-30" @default.
• W2964019929 creator A5022234553 @default.
• W2964019929 date "2015-11-01" @default.
• W2964019929 modified "2023-10-18" @default.
• W2964019929 title "Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state" @default.
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• W2964019929 doi "https://doi.org/10.1016/j.aim.2015.04.030" @default.
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