Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}

Jim Colliander; Tristan Roy

arxiv: 0811.1803 · v1 · submitted 2008-11-12 · 🧮 math.AP

Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R²

Jim Colliander , Tristan Roy This is my paper

classification 🧮 math.AP

keywords cubicglobalbootstrappedcriticaldatadecompositiondefocusingequation

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We prove global well-posedness for the L^{2}-critical cubic defocusing nonlinear Schr\"odinger equation on R^{2} with data u_{0} \in H^{s}(R^{2}) for s > {1/3}.

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Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R²

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