Global existence and uniqueness of Schr\"{o}dinger maps in dimensions $d\geq 4$
Analysis of PDEs
2007-05-23 v2
Abstract
In dimensions , we prove that the Schr\"{o}dinger map initial-value problem admits global (in time) solutions for smooth data with small norm in the critical Sobolev space.
Keywords
Cite
@article{arxiv.math/0607579,
title = {Global existence and uniqueness of Schr\"{o}dinger maps in dimensions $d\geq 4$},
author = {I. Bejenaru and A. D. Ionescu and C. E. Kenig},
journal= {arXiv preprint arXiv:math/0607579},
year = {2007}
}
Comments
Added references on orthonormal frames