The evolution of complete non-compact graphs by powers of Gauss curvature

DOI10.1515/crelle-2017-0032zbMath1440.53104arXiv1603.04286OpenAlexW2963969127MaRDI QIDQ2009894

Kyeongsu Choi, Ki-Ahm Lee, Lami Kim, Panagiota Daskalopoulos

Publication date: 2 December 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04286

zbMATH Keywords

principal curvatureslong-time existencelocal lower bounds\(\alpha\)-Gauss curvature flowspeed estimates

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Flows related to mean curvature (53E10)

Related Items (9)

Evolution of noncompact hypersurfaces by inverse mean curvature ⋮ Entire convex curvature flow in Minkowski space ⋮ Evolution of graphs in hyperbolic space by their Gauss curvature ⋮ Translating solitons to flows by powers of the Gaussian curvature in Riemannian products ⋮ Translating solutions to the Gauss curvature flow with flat sides ⋮ Gauss curvature flow with an obstacle ⋮ Ancient solutions for flow by powers of the curvature in \(\mathbb{R}^2\) ⋮ Inverse mean curvature evolution of entire graphs ⋮ The \(Q_k\) flow on complete non-compact graphs

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