Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field
Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field
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DOI：
10.1007/s11464-010-0004-x
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发表时间：
2010-01
影响因子：
--
通讯作者：
Yan-nan Liu
中科院分区：
文献类型：
--
作者：
Yan-nan Liu
本文研究了按平均曲率减去外力场运动的非紧超曲面的演化。证明了当初始超曲面是线性增长的Lipschitz整图时，对于一类特殊的外力场，该流存在长时间光滑解。
In this paper, we study the evolution of a noncompact hypersurface moving by mean curvature minus an external force field. We prove that the flow has a long-time smooth solution for a kind of special external force fields if the initial hypersurface is a Lipschitz entire graph with linear growth.