Regularity of minimal submanifolds and mean curvature flows with a common free boundary

DOI10.1080/03605302.2019.1611848zbMath1419.35133arXiv1609.08036OpenAlexW2964297947MaRDI QIDQ5222699

Brian Krummel

Publication date: 10 July 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08036

zbMATH Keywords

regularitymean curvature flowminimal surfacesingular setBrakke flow

Mathematics Subject Classification ID

Quasilinear parabolic equations with mean curvature operator (35K93)

Cites Work

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• Regularity in elliptic free boundary problems. I
• Cylindrical tangent cones and the singular set of minimal submanifolds
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• On the first variation of a varifold
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Elliptic regularization and partial regularity for motion by mean curvature
• A second derivative Hölder estimate for weak mean curvature flow
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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