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arXiv · 0811.1803

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

Jim Colliander·Tristan Roy
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Abstract

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

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Jim Colliander, Tristan Roy. 2008-11-12. Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}. https://arxiv.org/abs/0811.1803

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