A controlling norm for energy-critical Schr\"odinger maps
Analysis of PDEs
2013-02-18 v1 Mathematical Physics
math.MP
Abstract
We consider energy-critical Schroedinger maps with target either the sphere S^2 or hyperbolic plane H^2 and establish that a unique solution may be continued so long as a certain space-time L^4 norm remains bounded. This reduces the large data global wellposedness problem to that of controlling this norm.
Cite
@article{arxiv.1302.3879,
title = {A controlling norm for energy-critical Schr\"odinger maps},
author = {Benjamin Dodson and Paul Smith},
journal= {arXiv preprint arXiv:1302.3879},
year = {2013}
}
Comments
24 pages