Another approach to the heat flow for Plateau problem

被引：8

作者：

Chang, KC ^{[1
]}

Liu, JQ ^{[1
]}

机构：

[1] Peking Univ, Inst Math, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 189卷 / 01期

关键词：

minimal surface; Plateau problem;

D O I：

10.1016/S0022-0396(02)00102-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the minimal surfaces in R-n with Plateau boundary condition and establish the global existence and uniqueness of the flow as well as the continuous dependence of the initial datum. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：46 / 70

页数：25

共 35 条

[1] Heat flow for the minimal surface with plateau boundary condition
Chang, KC
Liu, JQ
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 19 (01) : 1 - 28
[2] Heat Flow for the Minimal Surface with Plateau Boundary Condition
Kung* Ching Chang
Jia Quan Liu**
Acta Mathematica Sinica, 2003, 19 : 1 - 28
[3] A direct approach to the anisotropic Plateau problem
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ADVANCES IN CALCULUS OF VARIATIONS, 2019, 12 (02) : 211 - 223
[4] PLATEAU FLOW OR THE HEAT FLOW FOR HALF-HARMONIC MAPS
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[5] Solution of the Kirchhoff–Plateau Problem
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Eliot Fried
Journal of Nonlinear Science, 2017, 27 : 1043 - 1063
[6] The discrete plateau problem: Algorithm and numerics
Dziuk, G
Hutchinson, JE
MATHEMATICS OF COMPUTATION, 1999, 68 (225) : 1 - 23
[7] The periodic Plateau problem and its application
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Annals of Global Analysis and Geometry, 2025, 67 (3)
[8] The discrete Plateau Problem: Convergence results
Dziuk, G
Hutchinson, JE
MATHEMATICS OF COMPUTATION, 1999, 68 (226) : 519 - 546
[9] On the numerical solution of Plateau's problem
Harbrecht, Helmut
APPLIED NUMERICAL MATHEMATICS, 2009, 59 (11) : 2785 - 2800
[10] Solution of the Kirchhoff-Plateau Problem
Giusteri, Giulio G.
Lussardi, Luca
Fried, Eliot
JOURNAL OF NONLINEAR SCIENCE, 2017, 27 (03) : 1043 - 1063

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