Uniqueness of entire graphs evolving by mean curvature flow

DOI10.1515/CRELLE-2022-0085OpenAlexW3209754919MaRDI QIDQ2689042

Mariel Sáez, Panagiota Daskalopoulos

Publication date: 6 March 2023

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

Full work available at URL: https://arxiv.org/abs/2110.12026

zbMATH Keywords

entire graphsuniqueness of solutions to curve shortening flow

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Global submanifolds (53C40)

Related Items (2)

Collapsing and noncollapsing in convex ancient mean curvature flow ⋮ Pinched hypersurfaces are compact

Cites Work

• Convex solutions to the mean curvature flow
• Flow by mean curvature of convex surfaces into spheres
• Degenerate diffusions. Initial value problems and local regularity theory
• Mean curvature evolution of entire graphs
• Interior estimates for hypersurfaces moving by mean curvature
• Parabolic Omori-Yau maximum principle for mean curvature flow and some applications
• Shortening complete plane curves
• Three-manifolds with positive Ricci curvature
• Harnack estimate for the mean curvature flow
• Instantaneously complete Yamabe flow on hyperbolic space
• Uniqueness of instantaneously complete Ricci flows
• Uniqueness of the Ricci flow on complete noncompact manifolds
• Uniqueness and pseudolocality theorems of the mean curvature flow
• Mean curvature flow without singularities
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• Collapsing and noncollapsing in convex ancient mean curvature flow

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