Local wellposedness of Chern-Simons-Schr\"odinger
Analysis of PDEs
2012-12-10 v1 Mathematical Physics
math.MP
Abstract
In this article we consider the initial value problem for the Chern-Simons-Schrodinger model in two space dimensions. This is a covariant NLS type problem which is L^2 critical. For this equation we introduce a so-called heat gauge, and prove that, with respect to this gauge, the problem is locally well-posed for initial data which is small in H^s, s > 0.
Keywords
Cite
@article{arxiv.1212.1476,
title = {Local wellposedness of Chern-Simons-Schr\"odinger},
author = {Baoping Liu and Paul Smith and Daniel Tataru},
journal= {arXiv preprint arXiv:1212.1476},
year = {2012}
}
Comments
40 pages