An area minimizing scheme for anisotropic mean curvature flow

DOI10.3792/pjaa.88.7zbMath1242.35013OpenAlexW2073038510MaRDI QIDQ413793

Katsuyuki Ishii, Yoshikazu Giga, Tokuhiro Eto

Publication date: 7 May 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1325264389

zbMATH Keywords

area minimizationlevel set methodviscosity solutionsHausdorff distanceapproximation schemeanisotropic mean curvature flow

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Theoretical approximation in context of PDEs (35A35) Viscosity solutions to PDEs (35D40)

Related Items

Harnack inequality and pinching estimates for anisotropic curvature flow of hypersurfaces

Cites Work

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• Crystalline mean curvature flow of convex sets
• Threshold dynamics type approximation schemes for propagating fronts
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• Geometric curve evolution and image processing
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• Anisotropic curvature-driven flow of convex sets
• User’s guide to viscosity solutions of second order partial differential equations
• Curvature-Driven Flows: A Variational Approach
• APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW
• Convergence of an Algorithm for the Anisotropic and Crystalline Mean Curvature Flow

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