@inproceedings{Chen2001TheEO,
title={The Existence of the Heat Flow of H-systems},
author={Yuehui Chen and Stephen Levine and Lawrence C. Evans},
year={2001}
}

In this paper, we show the existence of a unique, regular solution to the flow of the H-system with Dirichlet boundary condition. The solution exists at least up until the time of energy concentration. If this solution satisfies a certain energy inequality, then it can be continued to a global solution with the exception of at most finitely many singularities. The behavior of the singularities also are discussed.