The harmonic map heat flow on conic manifolds
Analysis of PDEs
2019-08-02 v1
Abstract
In this article, we study the the harmonic map heat flow from a manifold with conic singularities to a closed manifold. In particular, we have proved the short time existence and uniqueness of solutions as well as the existence of global solutions into manifolds with nonpositive sectional curvature. These results are established in virtue of the maximal regularity theory on manifolds with conic singularities.
Cite
@article{arxiv.1708.09084,
title = {The harmonic map heat flow on conic manifolds},
author = {Yuanzhen Shao and Changyou Wang},
journal= {arXiv preprint arXiv:1708.09084},
year = {2019}
}