The Existence of the Heat Flow of H-systems

@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. 

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