Global solutions for 2D quadratic Schrödinger equations |
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Authors: | P Germain N Masmoudi J Shatah |
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Institution: | New York University, Courant Institute of Mathematical Sciences, 251 Mercer Street, New York City, NY, United States |
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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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