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Nonhomogeneous inverse mean curvature flow in Euclidean space
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15099
Li Chen , Xi Guo , Qiang Tu

Abstract:We consider inverse mean curvature flows in Euclidean space with star-shaped initial hypersurface, driven by the nonhomogeneous function of mean curvature. We show that the solutions exist for all time and and converge smoothly to a round sphere after rescaling.


中文翻译:

欧氏空间中的非均匀逆平均曲率流

摘要:我们考虑在平均曲率的非齐次函数驱动下,具有初始初始超曲面的欧几里得空间中的平均曲率逆流。我们证明了解决方案一直存在,并且在重新缩放后可以平滑地收敛到一个圆球形。
更新日期:2020-08-20
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