MOTION OF LEVEL SETS BY MEAN-CURVATURE .2.

被引：153

作者：

EVANS, LC ^{[1
]}

SPRUCK, J ^{[1
]}

机构：

[1] UNIV MASSACHUSETTS,DEPT MATH,AMHERST,MA 01003

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 330卷 / 01期

关键词：

D O I：

10.2307/2154167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface

引用

页码：321 / 332

页数：12

共 50 条

[31] W(2,P) REGULARITY FOR VARIFOLDS WITH MEAN-CURVATURE
DUGGAN, JP
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1986, 11 (09) : 903 - 926
[32] ON THE MEAN-CURVATURE FUNCTION FOR COMPACT SURFACES
LAWSON, HB
TRIBUZY, RDA
JOURNAL OF DIFFERENTIAL GEOMETRY, 1981, 16 (02) : 179 - 183
[33] Mean-Curvature Flow of Voronoi Diagrams
Matt Elsey
Dejan Slepčev
Journal of Nonlinear Science, 2015, 25 : 59 - 85
[34] ON THE CLASSIFICATION OF CONSTANT MEAN-CURVATURE TORI
PINKALL, U
STERLING, I
ANNALS OF MATHEMATICS, 1989, 130 (02) : 407 - 451
[35] HYPERSURFACES WITH CONSTANT MEAN-CURVATURE IN SPHERES
ALENCAR, H
DOCARMO, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (04) : 1223 - 1229
[36] THE MEAN-CURVATURE OF GRAVITATIONAL-FIELDS
MARATHE, KB
PHYSICA A, 1982, 114 (1-3): : 143 - 145
[37] A BARRIER METHOD FOR MEAN-CURVATURE PROBLEMS
NOUSSAIR, ES
SWANSON, CA
YANG, JF
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (08) : 631 - 641
[38] MULTIPLE SURFACES OF NONCONSTANT MEAN-CURVATURE
JAKOBOWSKY, N
MATHEMATISCHE ZEITSCHRIFT, 1994, 217 (03) : 497 - 512
[39] A CONCENTRATION PHENOMENON IN MEAN-CURVATURE FLOW
NAKAUCHI, N
MANUSCRIPTA MATHEMATICA, 1993, 78 (02) : 129 - 147
[40] STABILITY OF HYPERSURFACES WITH CONSTANT MEAN-CURVATURE
BARBOSA, JL
DOCARMO, M
MATHEMATISCHE ZEITSCHRIFT, 1984, 185 (03) : 339 - 353

← 1 2 3 4 5 →