Geometric evolution equations for hypersurfaces
暂无分享,去创建一个
[1] G. Huisken. Asymptotic-behavior for singularities of the mean-curvature flow , 1990 .
[2] Gerhard Huisken,et al. Mean curvature flow singularities for mean convex surfaces , 1999 .
[3] R. Hamilton. Three-manifolds with positive Ricci curvature , 1982 .
[4] R. Geroch,et al. ENERGY EXTRACTION * , 1973 .
[5] J. Dieudonne. Foundations of Modern Analysis , 1969 .
[6] G. Huisken,et al. The Riemannian Penrose inequality , 1997 .
[7] L. Evans,et al. Motion of level sets by mean curvature. II , 1992 .
[8] G. Huisken. Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature , 1986 .
[9] G. Huisken. Flow by mean curvature of convex surfaces into spheres , 1984 .
[10] Kenneth A. Brakke,et al. The motion of a surface by its mean curvature , 2015 .
[11] G. Huisken,et al. Interior estimates for hypersurfaces moving by mean curvature , 1991 .
[12] G. Huisken,et al. Mean curvature evolution of entire graphs , 1989 .
[13] R. Hamilton. Harnack estimate for the mean curvature flow , 1995 .
[14] A. Friedman. Partial Differential Equations of Parabolic Type , 1983 .
[15] Kaising Tso,et al. Deforming a hypersurface by its Gauss-Kronecker curvature , 1985 .
[16] Thierry Aubin,et al. Nonlinear analysis on manifolds, Monge-Ampère equations , 1982 .
[17] Gerhard Huisken,et al. A distance comparison principle for evolving curves , 1998 .
[18] B. Andrews. Monotone quantities and unique limits for evolving convex hypersurfaces , 1997 .
[19] James Simons,et al. Minimal Varieties in Riemannian Manifolds , 1968 .
[20] B. White. Partial regularity of mean-convex hypersurfaces flowing by mean curvature , 1994 .
[21] S. Yau,et al. Curvature estimates for minimal hypersurfaces , 1975 .
[22] Yun-Gang Chen,et al. Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations , 1989 .
[23] R. Hamilton,et al. The formations of singularities in the Ricci Flow , 1993 .
[24] J. Nash,et al. PARABOLIC EQUATIONS. , 1957, Proceedings of the National Academy of Sciences of the United States of America.
[25] J. Taylor,et al. Shape evolution by surface diffusion and surface attachment limited kinetics on completely faceted surfaces , 1995 .
[26] John Urbas,et al. On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures , 1990 .
[27] Ben Andrews,et al. Contraction of convex hypersurfaces by their affine normal , 1996 .
[28] F. Trèves. Relations de domination entre opérateurs différentiels , 1959 .
[29] Ben Andrews,et al. Contraction of convex hypersurfaces in Euclidean space , 1994 .
[30] S. Angenent,et al. Degenerate neckpinches in mean curvature flow. , 1997 .
[31] G. Huisken,et al. Convexity estimates for mean curvature flow and singularities of mean convex surfaces , 1999 .
[32] G. Sapiro,et al. On affine plane curve evolution , 1994 .
[33] M. Grayson. The heat equation shrinks embedded plane curves to round points , 1987 .
[34] William J. Firey,et al. Shapes of worn stones , 1974 .
[35] M. Grayson. Shortening embedded curves , 1989 .
[36] D. DeTurck. Deforming metrics in the direction of their Ricci tensors , 1983 .
[37] Gerhard Huisken,et al. Local and global behaviour of hypersurfaces moving by mean curvature , 1993 .
[38] W. Mullins. Two‐Dimensional Motion of Idealized Grain Boundaries , 1956 .
[39] Bennett Chow,et al. Deforming convex hypersurfaces by the $n$th root of the Gaussian curvature , 1985 .
[40] Claus Gerhardt,et al. Flow of nonconvex hypersurfaces into spheres , 1990 .
[41] R. Hamilton. Four-manifolds with positive isotropic curvature , 1997 .
[42] G. Huisken,et al. The inverse mean curvature flow and the Riemannian Penrose Inequality , 2001 .
[43] B. Andrews. Contraction of convex hypersurfaces in Riemannian spaces , 1994 .
[44] T. Ilmanen. Elliptic regularization and partial regularity for motion by mean curvature , 1994 .
[45] B. Andrews. Gauss curvature flow: the fate of the rolling stones , 1999 .
[46] J. Lions,et al. Sur les problèmes mixtes pour certains systèmes paraboliques dans les ouverts non cylindriques , 1957 .
[47] R. Hamilton. ISOPERIMETRIC ESTIMATES FOR THE CURVE SHRINKING FLOW IN THE PLANE , 1996 .
[48] M. Gage,et al. The heat equation shrinking convex plane curves , 1986 .