The existence of the heat flow of H-systems
The existence of the heat flow of H-systems
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DOI：
10.3934/dcds.2002.8.219
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发表时间：
2001-10
影响因子：
1.1
通讯作者：
Yunmei Chen;Stacey Levine
中科院分区：
文献类型：
--
作者：
Yunmei Chen;Stacey Levine
本文证明了具有Dirichlet边界条件的H-系统流的正则解的存在性。这个解至少在能量集中之前是存在的。如果这个解满足一定的能量不等式，那么它可以继续到一个整体解，除了至多有200个奇点。并对奇异性的行为进行了讨论。
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.