Nonlocal geometric expansion of convex planar curves

DOI10.1006/jdeq.2001.4107zbMath1029.49038OpenAlexW2093848199MaRDI QIDQ1614747

Ben Andrews, Mikhail Feldman

Publication date: 8 September 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4107

zbMATH Keywords

Perron's methodviscosity solutionsconvex solutionsMonge-Kantorovich mass transfernonlocal geometric expansions

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Constructing convex solutions via Perron's method ⋮ ON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERM ⋮ Some flows in shape optimization ⋮ Tracking the critical points of curves evolving under planar curvature flows

Cites Work

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• Saddle points of Hamiltonian systems in convex problems of Lagrange
• Sobolev Embeddings for Generalized Ridged Domains
• User’s guide to viscosity solutions of second order partial differential equations
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• An asymptotic model for compression molding

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