On the global well-posedness of the one-dimensional Schrodinger map flow
Differential Geometry
2009-10-05 v2 Analysis of PDEs
Abstract
We establish the global well-posedness of the initial value problem for the Schrodinger map flow for maps from the real line into Kahler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.
Keywords
Cite
@article{arxiv.0811.0848,
title = {On the global well-posedness of the one-dimensional Schrodinger map flow},
author = {Igor Rodnianski and Yanir A. Rubinstein and Gigliola Staffilani},
journal= {arXiv preprint arXiv:0811.0848},
year = {2009}
}
Comments
v2: Remark 1.5 added, some typos fixed