1302.3879 (Benjamin Dodson et al.)

A controlling norm for energy-critical Schrödinger maps    [PDF]

Benjamin Dodson, Paul Smith

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.

View original: http://arxiv.org/abs/1302.3879