Harnack inequality and pinching estimates for anisotropic curvature flow of hypersurfaces

被引：2

作者：

Kang, Hyunsuk ^{[1
]}

Lee, Ki-Ahm ^{[2
,3
]}

机构：

[1] Gwangju Inst Sci & Technol, GIST Coll, Div Liberal Arts & Sci, 123 Cheomdangwagi Ro, Gwangju 61005, South Korea

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[3] Korea Inst Adv Study, Seoul 130722, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 464卷 / 01期

关键词：

Curvature flow; Harnack inequality; Pinching estimate; RICCI FLOW; CONVEX HYPERSURFACES; SPACE;

D O I：

10.1016/j.jmaa.2018.03.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a differential Harnack inequality for anisotropic curvature flow of convex hypersurfaces in Euclidean space with its speed given by a curvature function of homogeneity degree one in a certain class, and restrictions depending only on the initial data and the anisotropic factor which reflects the influence of the ambient space. Moreover, the pinching estimate for such flows is derived from the maximum principle for tensors. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：32 / 57

页数：26

共 30 条

[1] HARNACK INEQUALITIES FOR EVOLVING HYPERSURFACES [J].