Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

Date
Authors
Dodson, Benjamin
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We prove global well-posedness for the cubic, defocusing, nonlinear Schr{\"o}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].
Comment: 20 pages
Keywords
Mathematics - Analysis of PDEs, 35G20
Citation
Collections