A level set crystalline mean curvature flow of surfaces
A level set crystalline mean curvature flow of surfaces
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DOI：
10.57262/ade/1462298654
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发表时间：
2016-01
影响因子：
1.4
通讯作者：
Y. Giga;Norbert Povz'ar
中科院分区：
文献类型：
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作者：
Y. Giga;Norbert Povz'ar
我们引入了一个新的概念，粘度解决方案的水平集制定的议案，晶体平均曲率在三维空间。解决方案满足比较原理，稳定性方面的近似正则化的问题，我们还显示了唯一性和存在的水平集流有界晶体。
We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison principle, stability with respect to an approximation by regularized problems, and we also show the uniqueness and existence of a level set flow for bounded crystals.