Worn stones with flat sides all time regularity of the interface

DOI10.1007/S00222-003-0328-1zbMath1061.53046OpenAlexW2128098012MaRDI QIDQ1882741

Ki-Ahm Lee, Panagiota Daskalopoulos

Publication date: 1 October 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-003-0328-1

zbMATH Keywords

regularityfree boundary problemconvex surfaceGauss curvature flow

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)

Related Items (13)

Entropy and a convergence theorem for Gauss curvature flow in high dimension ⋮ Hölder regularity of solutions of degenerate elliptic and parabolic equations. ⋮ Fully degenerate Monge-Ampère equations ⋮ Free boundary regularity on the focusing problem for the \(Q_k\) curvature flow with flat sides I ⋮ Equivolumetric evolution of planar curves ⋮ On the Evolution of Convex Hypersurfaces by theQ_kFlow ⋮ Translating solutions to the Gauss curvature flow with flat sides ⋮ The evolution of complete non-compact graphs by powers of Gauss curvature ⋮ Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations ⋮ The obstacle problem for the Monge-Ampère equation with the lower obstacle ⋮ Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature ⋮ The obstacle problem for parabolic Monge-Ampère equation ⋮ Convergence of Gauss curvature flows to translating solitons

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