给出常均曲率热流的Dirichlet边值问题存在唯一和正则的解,并且这个解可以一直达到某个能量集中的时刻. 如果这个解还满足一定的能量不等式,那么可以得到在除有限个奇点的全局解. 我们所使用的方法有别于文献[2].%In this paper, we show the existence of a unique, regular solution to the flow of constant mean curvature with Dirichlet boundary condition and this solution exists at least up untill 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 finitly many singularities. Our method is different from Y. Chen and S. Levine [2].
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