메뉴 건너뛰기




Volumn 154, Issue 2, 2001, Pages 503-525

A local monotonicity formula for mean curvature flow

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035540757     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/3062105     Document Type: Article
Times cited : (31)

References (19)
  • 1
    • 0001246518 scopus 로고
    • On the first variation of a varifold
    • W. K. ALLARD, On the first variation of a varifold, Ann. of Math. 95 (1972), 417-491.
    • (1972) Ann. of Math. , vol.95 , pp. 417-491
    • Allard, W.K.1
  • 3
    • 84972499852 scopus 로고
    • Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
    • Y. G. CHEN, Y. GIGA and S. GOTO, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Differential Geom. 33 (1991), 749-786.
    • (1991) J. Differential Geom. , vol.33 , pp. 749-786
    • Chen, Y.G.1    Giga, Y.2    Goto, S.3
  • 4
    • 0002125077 scopus 로고
    • Mean curvature evolution of entire graphs
    • K. ECKER and G. HUISKEN, Mean curvature evolution of entire graphs, Ann. of Math. 130 (1989), 453-471.
    • (1989) Ann. of Math. , vol.130 , pp. 453-471
    • Ecker, K.1    Huisken, G.2
  • 5
    • 0007468372 scopus 로고
    • On regularity for mean curvature flow of hypersurfaces
    • K. ECKER, On regularity for mean curvature flow of hypersurfaces, Calc. Var. 3 (1995), 107-126.
    • (1995) Calc. Var. , vol.3 , pp. 107-126
    • Ecker, K.1
  • 7
    • 84972518016 scopus 로고
    • Motion of level sets by mean curvature I
    • L. C. EVANS and J. SPRUCK, Motion of level sets by mean curvature I, J. Differential Geom. 33 (1991), 635-681.
    • (1991) J. Differential Geom. , vol.33 , pp. 635-681
    • Evans, L.C.1    Spruck, J.2
  • 8
    • 0007553268 scopus 로고
    • A mean value theorem for the heat equation
    • W. FULKS, A mean value theorem for the heat equation, Proc. A. M. S. 17 (1966), 6-11.
    • (1966) Proc. A. M. S. , vol.17 , pp. 6-11
    • Fulks, W.1
  • 9
    • 84972507688 scopus 로고
    • Flow by mean curvature of convex surfaces into spheres
    • G. HUISKEN, Flow by mean curvature of convex surfaces into spheres, J. Differential Geom. 20 (1984), 237-266.
    • (1984) J. Differential Geom. , vol.20 , pp. 237-266
    • Huisken, G.1
  • 10
    • 84972527004 scopus 로고
    • Asymptotic behaviour for singularities of the mean curvature flow
    • _, Asymptotic behaviour for singularities of the mean curvature flow, J. Differential Geom. 31 (1990), 285-299.
    • (1990) J. Differential Geom. , vol.31 , pp. 285-299
  • 11
    • 0007544717 scopus 로고
    • Local and global behaviour of hypersurfaces moving by mean curvature
    • Australian National University
    • _, Local and global behaviour of hypersurfaces moving by mean curvature, Proc. Centre for Mathematics and its Applications 26, Australian National University (1991).
    • (1991) Proc. Centre for Mathematics and Its Applications , vol.26
  • 15
    • 0007513342 scopus 로고
    • A density function and the structure of singularities of the mean curvature flow
    • A. STONE, A density function and the structure of singularities of the mean curvature flow, Calc. Var. 2 (1994), 443-480.
    • (1994) Calc. Var. , vol.2 , pp. 443-480
    • Stone, A.1
  • 16
    • 0007553006 scopus 로고
    • A theory of subtemperatures in several variables
    • N. A. WATSON, A theory of subtemperatures in several variables, Proc. London Math Soc. 26 (1973), 385-417.
    • (1973) Proc. London Math Soc. , vol.26 , pp. 385-417
    • Watson, N.A.1
  • 17
    • 0031521571 scopus 로고    scopus 로고
    • Stratification of minimal surfaces, mean curvature flows and harmonic maps
    • B. WHITE, Stratification of minimal surfaces, mean curvature flows and harmonic maps, J. reine und angewandte Math. 488 (1997), 1-35.
    • (1997) J. Reine und Angewandte Math. , vol.488 , pp. 1-35
    • White, B.1
  • 18
    • 0034423844 scopus 로고    scopus 로고
    • The size of the singular set in mean curvature flow of mean convex sets
    • _, The size of the singular set in mean curvature flow of mean convex sets, J. Amer. Math. Soc. 13 (2000), 665-695.
    • (2000) J. Amer. Math. Soc. , vol.13 , pp. 665-695
  • 19
    • 0007467657 scopus 로고
    • New estimates of the fundamental solution and Wiener's criterion for parabolic equations with variable coefficients, calculus of variations and partial differential equations
    • Trento, Springer-Verlag, New York
    • N. GAROFALO, New estimates of the fundamental solution and Wiener's criterion for parabolic equations with variable coefficients, Calculus of variations and partial differential equations (Trento, 1986), 70-83, Lecture Notes in Mathematics 1340, Springer-Verlag, New York, 1988.
    • (1986) Lecture Notes in Mathematics , vol.1340 , pp. 70-83
    • Garofalo, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.