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Global solutions for 2D quadratic Schrödinger equations
Authors:P Germain  N Masmoudi  J Shatah
Institution:New York University, Courant Institute of Mathematical Sciences, 251 Mercer Street, New York City, NY, United States
Abstract:We prove global existence and scattering for a class of quadratic Schrödinger equations in dimension 2 with small and localized data. The proof relies on the idea of space–time resonance.
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