3-Commutators Estimates and the Regularity of 1/2 Harmonic Maps into Spheres
Analysis of PDEs
2009-07-24 v2
Abstract
We prove the regularity of weak 1/2-harmonic maps from the real line into a sphere. The key point in our result is first a formulation of the 1/2-harmonic map equation in the form of a non-local linear Schr\"odinger type equation with a 3-terms commutators in the right-hand-side . We then establish a sharp estimate for these 3-commutators.
Keywords
Cite
@article{arxiv.0901.2533,
title = {3-Commutators Estimates and the Regularity of 1/2 Harmonic Maps into Spheres},
author = {Francesca Da Lio and Tristan Riviere},
journal= {arXiv preprint arXiv:0901.2533},
year = {2009}
}
Comments
53 p. (new commutator estimates)