A global weak solution to the Lorentzian harmonic map flow
Differential Geometry
2018-09-20 v1
Abstract
We investigate a parabolic-elliptic system which is related to a harmonic map from a compact Riemann surface with a smooth boundary into a Lorentzian manifold with a warped product metric. We prove that there exists a unique global weak solution for this system which is regular except for at most finitely many singular points.
Cite
@article{arxiv.1809.07237,
title = {A global weak solution to the Lorentzian harmonic map flow},
author = {Xiaoli Han and Lei Liu and Liang Zhao},
journal= {arXiv preprint arXiv:1809.07237},
year = {2018}
}
Comments
to appear in Science China Mathematics