\(\alpha \)-Gauss curvature flows with flat sides

DOI10.1016/J.JDE.2012.10.012zbMath1259.35115arXiv1109.6699OpenAlexW1970268295MaRDI QIDQ1932429

Ki-Ahm Lee, Lami Kim, Eunjai Rhee

Publication date: 18 January 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6699

zbMATH Keywords

waiting time effect\(C^{1,1}\)-estimates2-dimensional convex surfacescollapsing time

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Parabolic equations and parabolic systems (35K99) Viscosity solutions to PDEs (35D40)

Related Items (6)

Translating solutions to the Gauss curvature flow with flat sides ⋮ The evolution of complete non-compact graphs by powers of Gauss curvature ⋮ 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 ⋮ Gauss curvature flow with an obstacle ⋮ The obstacle problem for parabolic Monge-Ampère equation

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