Local energy inequalities for mean curvature flow into evolving ambient spaces

DOI10.1007/S00229-018-1027-YzbMath1435.53065OpenAlexW2802225732WikidataQ123186397 ScholiaQ123186397MaRDI QIDQ1728387

Ahmad Afuni

Publication date: 22 February 2019

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-018-1027-y

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Calculus on manifolds; nonlinear operators (58C99) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Flow by mean curvature inside a moving ambient space
• Mean curvature flow in a Ricci flow background
• A local regularity theorem for mean curvature flow
• Asymptotic behavior for singularities of the mean curvature flow
• Monotonicity formulas for parabolic flows on manifolds
• A matrix Harnack estimate for the heat equation
• Regularity theory for mean curvature flow
• Energy identities and monotonicity for evolving \(k\)-forms on moving Riemannian spaces
• On the first variation of a varifold
• Local monotonicity and mean value formulas for evolving Riemannian manifolds
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Riemannian Geometry
• A Theory of Subtemperatures in Several Variables
• A local monotonicity formula for mean curvature flow

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