Singular set and curvature blow-up rate of the level set flow

DOI10.1515/crelle-2023-0083arXiv2211.11464OpenAlexW4388811352MaRDI QIDQ6191979

Siao-Hao Guo

Publication date: 12 February 2024

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

Full work available at URL: https://arxiv.org/abs/2211.11464

zbMATH Keywords

singularityŁojasiewicz inequalitylevel set flow

Mathematics Subject Classification ID

(G)-structures (53C10) Quasilinear elliptic equations with mean curvature operator (35J93)

Cites Work

• Unnamed Item
• The singular set of mean curvature flow with generic singularities
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• Flow by mean curvature of convex surfaces into spheres
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• The heat equation shrinking convex plane curves
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• Regularity theory for mean curvature flow
• Uniqueness of blowups and Łojasiewicz inequalities
• Rigidity of generic singularities of mean curvature flow
• Quantitative stratification and the regularity of mean curvature flow
• Differentiability of the Arrival Time
• Mean Curvature Flow of Mean Convex Hypersurfaces
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Elliptic regularization and partial regularity for motion by mean curvature
• Regularity of the Level Set Flow
• The nature of singularities in mean curvature flow of mean-convex sets
• The size of the singular set in mean curvature flow of mean-convex sets
• Arnold‐Thom Gradient Conjecture for the Arrival Time
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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