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arXiv · 0909.0757

Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

Benjamin Dodson
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Abstract

We prove global well-posedness for the cubic, defocusing, nonlinear Schr{ö}dinger equation on $\mathbf{R}^{2}$ with data $u_{0} \in H^{s}(\mathbf{R}^{2})$, $s > 1/4$. We accomplish this by improving the almost Morawetz estimates in [9].

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Benjamin Dodson. 2009-09-06. Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation. https://arxiv.org/abs/0909.0757

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