We prove global well-posedness for the cubic, defocusing, nonlinear Schr{\"o}dinger equation on R2 with data u0∈Hs(R2), s>1/4. We accomplish this by improving the almost Morawetz estimates in [9].
@article{arxiv.0909.0757,
title = {Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation},
author = {Benjamin Dodson},
journal= {arXiv preprint arXiv:0909.0757},
year = {2009}
}