Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

被引：0

作者：

Guan, Pengfei ^{[1
]}

Huang, Jiuzhou ^{[2
]}

Liu, Jiawei ^{[3
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada

[2] Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea

[3] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2024年 / 24卷 / 01期

关键词：

contracting curvature flow; convex hypersurfaces; CURVATURE; MOTION;

D O I：

10.1515/ans-2022-0077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in R n + 1, and prove the existence and regularity of the flow before extincting to a point in finite time.

引用

页码：141 / 154

页数：14

共 50 条

[1] Contracting Convex Hypersurfaces in Space Form by Non-homogeneous Curvature Function
Li, Guanghan
Lv, Yusha
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (01) : 417 - 447
[2] Contracting Convex Hypersurfaces in Space Form by Non-homogeneous Curvature Function
Guanghan Li
Yusha Lv
The Journal of Geometric Analysis, 2020, 30 : 417 - 447
[3] Fully nonlinear singularly perturbed models with non-homogeneous degeneracy
Bezerra Jr, Elzon C.
da Silva, Joao Vitor
Ricarte, Gleydson C.
REVISTA MATEMATICA IBEROAMERICANA, 2023, 39 (01) : 123 - 164
[4] Evolution of convex hypersurfaces by a fully nonlinear flow
Liu, Yan-nan
Ju, Hong-jie
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 130 : 47 - 58
[5] A pinching estimate for convex hypersurfaces evolving under a non-homogeneous variant of mean curvature flow
Espin, Tim
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2022, 65 (02) : 376 - 391
[6] Contracting convex hypersurfaces by curvature
Ben Andrews
James McCoy
Yu Zheng
Calculus of Variations and Partial Differential Equations, 2013, 47 : 611 - 665
[7] Contracting convex hypersurfaces by curvature
Andrews, Ben
McCoy, James
Zheng, Yu
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 47 (3-4) : 611 - 665
[8] Structure functions in homogeneous and non-homogeneous turbulent flows
Orlandi, P
Antonia, RA
Esposito, PG
FUNDAMENTAL PROBLEMATIC ISSUES IN TURBULENCE, 1999, : 319 - 327
[9] Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications
João Vitor da Silva
Gleydson C. Ricarte
Calculus of Variations and Partial Differential Equations, 2020, 59
[10] Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications
da Silva, Joao Vitor
Ricarte, Gleydson C.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (05)

← 1 2 3 4 5 →