NONHOMOGENEOUS INVERSE MEAN CURVATURE FLOW IN EUCLIDEAN SPACE

被引：1

作者：

Chen, Li ^{[1
]}

Guo, Xi ^{[1
]}

Tu, Qiang ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 10期

关键词：

Nonhomogeneous inverse mean curvature flows; star-shaped; mean convex; HYPERSURFACES; EXPANSION;

D O I：

10.1090/proc/15099

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4557 / 4571

页数：15

共 50 条

[41] Anisotropic inverse harmonic mean curvature flow
Jian Lu
Frontiers of Mathematics in China, 2014, 9 : 509 - 521
[42] Translating Solitons for the Inverse Mean Curvature Flow
Daehwan Kim
Juncheol Pyo
Results in Mathematics, 2019, 74
[43] Anisotropic inverse harmonic mean curvature flow
Lu, Jian
FRONTIERS OF MATHEMATICS IN CHINA, 2014, 9 (03) : 509 - 521
[44] The inverse mean curvature flow perpendicular to the sphere
Ben Lambert
Julian Scheuer
Mathematische Annalen, 2016, 364 : 1069 - 1093
[45] Backward uniqueness for the inverse mean curvature flow
Pak Tung Ho
Juncheol Pyo
Geometriae Dedicata, 2023, 217
[46] Backward uniqueness for the inverse mean curvature flow
Ho, Pak Tung
Pyo, Juncheol
GEOMETRIAE DEDICATA, 2023, 217 (02)
[47] The inverse mean curvature flow in cosmological spacetimes
Gerhardt, Claus
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2008, 12 (06) : 1183 - 1207
[48] Inverse mean curvature flow with forced term
Liu, Yannan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 410 (02) : 918 - 931
[49] The Inverse Mean Curvature Flow as An Obstacle Problem
Moser, Roger
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (05) : 2235 - 2256
[50] Remarks on solitons for inverse mean curvature flow
Kim, Daehwan
Pyo, Juncheol
MATHEMATISCHE NACHRICHTEN, 2020, 293 (12) : 2363 - 2369

← 1 2 3 4 5 →