Evolution of hypersurfaces in central force fields
Evolution of hypersurfaces in central force fields
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DOI：
10.1515/crll.2002.075
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发表时间：
2002-01
期刊：
影响因子：
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通讯作者：
O. C. Schnürer;Knut Smoczyk
中科院分区：
文献类型：
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作者：
O. C. Schnürer;Knut Smoczyk
我们考虑Rn+1中超曲面的流减少径向对称势引起的能量。这些流动类似于平均曲率流动，但出现不同的现象。我们证明了一个自然类的潜力，超曲面顺利收敛到一个唯一确定的领域，如果他们满足一个加强的星形条件在开始。
We consider flows of hypersurfaces in Rn+1 decreasing the energy induced by radially symmetric potentials. These flows are similar to the mean curvature flow but different phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothly to a uniquely determined sphere if they satisfy a strengthened starshapedness condition at the beginning.