Generalized crystalline evolutions as limits of flows with smooth anisotropies

Antonin Chambolle; Massimiliano Morini; Matteo Novaga; Marcello Ponsiglione

doi:10.2140/apde.2019.12.789

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Home > Journals > Anal. PDE > Volume 12 > Issue 3 > Article

2019 Generalized crystalline evolutions as limits of flows with smooth anisotropies

Antonin Chambolle, Massimiliano Morini, Matteo Novaga, Marcello Ponsiglione

Anal. PDE 12(3): 789-813 (2019). DOI: 10.2140/apde.2019.12.789

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Abstract

We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature flows, obtained as a limit of the viscosity solutions to flows with smooth anisotropies.

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Antonin Chambolle. Massimiliano Morini. Matteo Novaga. Marcello Ponsiglione. "Generalized crystalline evolutions as limits of flows with smooth anisotropies." Anal. PDE 12 (3) 789 - 813, 2019. https://doi.org/10.2140/apde.2019.12.789

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Received: 10 November 2017; Revised: 4 May 2018; Accepted: 29 June 2018; Published: 2019

First available in Project Euclid: 25 October 2018

zbMATH: 06986453

MathSciNet: MR3864210

Digital Object Identifier: 10.2140/apde.2019.12.789

Subjects:

Primary: 35D40 , 49M25 , 53C44

Keywords: crystalline mean curvature flow , geometric evolution equations , level-set formulation , minimizing movements , nonlocal curvature flows , nonlocal geometric flows , viscosity solutions

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Antonin Chambolle, Massimiliano Morini, Matteo Novaga, Marcello Ponsiglione "Generalized crystalline evolutions as limits of flows with smooth anisotropies," Analysis & PDE, Anal. PDE 12(3), 789-813, (2019)

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