Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Published:2024-02-01 Issue:1 Volume:24 Page:141-154
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Guan Pengfei¹,Huang Jiuzhou²,Liu Jiawei³

Affiliation:

1. Department of Mathematics and Statistics , McGill University , Montreal , Quebec , H3A 0B9 , Canada

2. School of Mathematics , Korea Institute for Advanced Study , Seoul 02455 , Republic of Korea

3. School of Mathematics and Statistics , Nanjing University of Science & Technology , 210094 , Nanjing , China

Abstract

Abstract We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in R n + 1

${\mathbb{R}}^{n+1}$

, and prove the existence and regularity of the flow before extincting to a point in finite time.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0077/pdf

Reference15 articles.

1. W. J. Firey, “Shapes of worn stones,” Mathematika, vol. 21, pp. 1–11, 1974. https://doi.org/10.1112/s0025579300005714.

2. K. Tso, “Deforming a hypersurface by its Gauss-Kronecker curvature,” Commun. Pure Appl. Math., vol. 38, no. 6, pp. 867–882, 1985. https://doi.org/10.1002/cpa.3160380615.

3. B. Andrews, “Contraction of convex hypersurfaces in Euclidean space,” Calc. Var. Partial Differ. Equ., vol. 2, no. 2, pp. 151–171, 1994. https://doi.org/10.1007/bf01191340.

4. B. Andrews, “Pinching estimates and motion of hypersurfaces by curvature functions,” J. Reine Angew. Math., vol. 608, pp. 17–33, 2007. https://doi.org/10.1515/crelle.2007.051.

5. B. Chow, “Deforming convex hypersurfaces by the nth root of the Gaussian curvature,” J. Differ. Geom., vol. 22, no. 1, pp. 117–138, 1985. https://doi.org/10.4310/jdg/1214439724.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3