No mass drop for mean curvature flow of mean convex hypersurfaces

DOI10.1215/00127094-2008-007zbMath1136.53051arXivmath/0610217OpenAlexW2084876896MaRDI QIDQ2482868

Felix Schulze, Jan Metzger

Publication date: 25 April 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610217

zbMATH Keywords

level set flowBrakke flowpast singularities

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items

Quantitative stratification and the regularity of mean curvature flow, Anisotropic and crystalline mean curvature flow of mean-convex sets, Mean Curvature Flow of Mean Convex Hypersurfaces, Isoperimetric properties of the mean curvature flow, A general regularity theory for weak mean curvature flow, Uniqueness of the bowl soliton, Differentiability of the Arrival Time, Lower semicontinuity of mass under \(C^0\) convergence and Huisken's isoperimetric mass, Implicit time discretization for the mean curvature flow of mean convex sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flow by mean curvature of convex surfaces into spheres
• Motion of level sets by mean curvature. I
• Interior estimates for hypersurfaces moving by mean curvature
• Nonlinear evolution by mean curvature and isoperimetric inequalities
• The heat equation shrinking convex plane curves
• Motion of level sets by mean curvature. IV
• The inverse mean curvature flow and the Riemannian Penrose inequality
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Elliptic regularization and partial regularity for motion by mean curvature
• The size of the singular set in mean curvature flow of mean-convex sets
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations