Regularity of the Level Set Flow
Regularity of the Level Set Flow
复制标题
水平集流的规律性
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
W. Minicozzi
中科院分区：
文献类型：
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作者：
T. Colding;W. Minicozzi
我们之前证明，单调前进前沿的水平集函数处处二阶导数有界二次可导，并且满足经典方程。我们在这里证明，当且仅当流具有单一奇异时间（其消失）并且奇异集由具有圆柱奇异点的闭合 C1 流形组成时，二阶导数是连续的。 © 2017 Wiley 期刊公司。
We showed earlier that the level set function of a monotonic advancing front is twice differentiable everywhere with bounded second derivative and satisfies the equation classically. We show here that the second derivative is continuous if and only if the flow has a single singular time where it becomes extinct and the singular set consists of a closed C1 manifold with cylindrical singularities. © 2017 Wiley Periodicals, Inc.