A NEW WAY TO DIRICHLET PROBLEMS FOR MINIMAL SURFACE SYSTEMS IN ARBITRARY DIMENSIONS AND CODIMENSIONS

被引：1

作者：

Mao, Jing ^{[1
]}

机构：

[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2015年 / 69卷 / 01期

关键词：

Dirichlet problem; spacelike submanifold; mean curvature flow; maximum principle; MEAN-CURVATURE FLOW; EQUATIONS;

D O I：

10.2206/kyushujm.69.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by considering a special case of the spacelike mean curvature flow investigated by Li and Salavessa [Math. Z. 269 (2011), 697-719], we obtain a condition for the existence of smooth solutions of the Dirichlet problem for the minimal surface equation in arbitrary codimension. We also show that our condition is sharper than Wang's [Comm Pure Appl. Math. 57 (2004), 267-281] provided that the hyperbolic angle 9 of the initial spacelike submanifold M-0 satisfies max(M0) cosh theta > root 2.

引用

页码：1 / 9

页数：9

共 11 条

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COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (02) : 267 - 281
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[9] SURFACE FORCES AND ADHESION IN CELLULOSE SYSTEMS: NEW WAY TO EVALUATE RESIN FIXATION/DISPERSION IN THE MANUFACTURE OF PAPER/CELLULOSE
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[10] New statistical goodness-of-fit techniques in noisy inhomogeneous regression problems with an application to the problem of recovering of the luminosity density of the Milky Way from surface brightness data
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