boundary regularity;
graphic mean curvature flows;
higher codimension;
H & ouml;
lder norms of the gradient;
DIRICHLET PROBLEM;
NONEXISTENCE;
D O I:
10.1007/s11425-023-2312-4
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we derive global bounds for the H & ouml;lder norms of the gradient of solutions of graphic mean curvature flows with boundaries of arbitrary codimension.
机构:
Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
Univ Calif Los Angeles, Dept Math, Box 951555, Los Angeles, CA 90095 USAZhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
Liu, Kefeng
Xu, Hongwei
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机构:
Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R ChinaZhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
Xu, Hongwei
Ye, Fei
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机构:
Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R ChinaZhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
Ye, Fei
Zhao, Entao
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Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R ChinaZhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
机构:
Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, GermanyMax Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany
Huisken, Gerhard
Ilmanen, Tom
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机构:
ETH, Dept Math, CH-8092 Zurich, SwitzerlandMax Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany