Existence and uniqueness for anisotropic and crystalline mean curvature flows

DOI10.1090/jams/919zbMath1420.53073arXiv1702.03094OpenAlexW2964236535WikidataQ128222525 ScholiaQ128222525MaRDI QIDQ5227286

Marcello Ponsiglione, Massimiliano Morini, Antonin Chambolle, Matteo Novaga

Publication date: 25 July 2019

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03094

zbMATH Keywords

geometric evolution equationsminimizing movementslevel set formulationcrystalline mean curvature motion

Mathematics Subject Classification ID

Related Items (13)

Anisotropic liquid drop models ⋮ Minkowski inequalities via nonlinear potential theory ⋮ Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow ⋮ Graphical translators for anisotropic and crystalline mean curvature flow ⋮ On volume-preserving crystalline mean curvature flow ⋮ Anisotropic and crystalline mean curvature flow of mean-convex sets ⋮ Motion by crystalline-like mean curvature: A survey ⋮ Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term ⋮ The orthotropic \(p\)-Laplace eigenvalue problem of Steklov type as \(p\rightarrow+\infty\) ⋮ On mean curvature flow with forcing ⋮ Crystalline flow starting from a general polygon ⋮ Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities ⋮ Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions

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