Rate of convergence of the mean curvature flow

DOI10.1002/cpa.20209zbMath1143.53066arXivmath/0502530OpenAlexW2032069495MaRDI QIDQ5450341

Natasa Sesum

Publication date: 20 March 2008

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502530

zbMATH Keywords

mean curvature flowarrival time

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (11)

On the dynamics of formation of generic singularities of mean curvature flow ⋮ On the rate of convergence of the \(p\)-curve shortening flow ⋮ Asymptotics for the level set equation near a maximum ⋮ Evolution of form and shape ⋮ Dynamics of closed singularities ⋮ Analytical Properties for Degenerate Equations ⋮ On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow ⋮ A priori error estimates for finite element approximations of regularized level set flows in higher norms ⋮ Differentiability of the Arrival Time ⋮ Mean curvature flow ⋮ Uniqueness of blowups and Łojasiewicz inequalities

Cites Work

• Convergence of the Ricci flow toward a soliton
• Regularity theory for mean curvature flow
• Riemannian geometry.

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