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
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
收藏
页码:321 / 332
页数:12
相关论文
共 50 条
  • [41] STABILITY OF HYPERSURFACES WITH CONSTANT MEAN-CURVATURE
    BARBOSA, JL
    DOCARMO, M
    MATHEMATISCHE ZEITSCHRIFT, 1984, 185 (03) : 339 - 353
  • [42] REGULARITY THEOREMS FOR VARIFOLDS WITH MEAN-CURVATURE
    DUGGAN, JP
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1986, 35 (01) : 117 - 144
  • [43] ON REGULARITY FOR MEAN-CURVATURE FLOW OF HYPERSURFACES
    ECKER, K
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1995, 3 (01): : 107 - 126
  • [44] MEAN-CURVATURE EVOLUTION OF ENTIRE GRAPHS
    ECKER, K
    HUISKEN, G
    ANNALS OF MATHEMATICS, 1989, 130 (03) : 453 - 471
  • [45] INTERIOR CURVATURE ESTIMATES FOR HYPERSURFACES OF PRESCRIBED MEAN-CURVATURE
    ECKER, K
    HUISKEN, G
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1989, 6 (04): : 251 - 260
  • [46] HYPERSURFACES WITH CONSTANT SCALAR CURVATURE AND CONSTANT MEAN-CURVATURE
    HASANIS, T
    VLACHOS, T
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1995, 13 (01) : 69 - 77
  • [47] EVIDENCE FOR ZERO MEAN-CURVATURE MICROEMULSIONS
    AUVRAY, L
    COTTON, JP
    OBER, R
    TAUPIN, C
    JOURNAL OF PHYSICAL CHEMISTRY, 1984, 88 (20): : 4586 - 4589
  • [48] MEAN-CURVATURE AND THE HEAT-EQUATION
    VANDENBERG, M
    LEGALL, JF
    MATHEMATISCHE ZEITSCHRIFT, 1994, 215 (03) : 437 - 464
  • [49] ON THE MEAN-CURVATURE OF R-SPACES
    KITAGAWA, Y
    OHNITA, Y
    MATHEMATISCHE ANNALEN, 1983, 262 (02) : 239 - 243
  • [50] EVOLUTIONARY SURFACES OF PRESCRIBED MEAN-CURVATURE
    GERHARDT, C
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 36 (01) : 139 - 172