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Generalized
crystalline evolutions as limits of flows with smooth
anisotropies
Antonin Chambolle, Massimiliano Morini, Matteo Novaga and Marcello Ponsiglione |
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Vol. 12 (2019), No. 3, 789–813
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Abstract |
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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. |
Keywords
geometric evolution equations, crystalline mean curvature
flow, level-set formulation, nonlocal curvature flows,
nonlocal geometric flows, minimizing movements, viscosity
solutions
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Mathematical Subject Classification 2010
Primary: 53C44, 49M25, 35D40
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Milestones
Received: 10 November 2017
Revised: 4 May 2018
Accepted: 29 June 2018
Published: 7 October 2018
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Authors |
| Antonin Chambolle | |
| CMAP École Polytechnique, CNRS Universé Paris-Saclay Palaiseau France |
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| Massimiliano Morini | |
| Dipartimento di Matematica Università degli Studi di Parma Parma Italy |
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| Matteo Novaga | |
| Dipartimento di Matematica Università di Pisa Pisa Italy |
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| Marcello Ponsiglione | |
| Dipartimento di Matematica Sapienza Università di Roma Roma Italy |
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