Existence and Uniqueness for a Crystalline Mean Curvature Flow | Zendy

Chambolle Antonin | Zendy; Morini Massimiliano | Zendy; Ponsiglione Marcello | Zendy

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Existence and Uniqueness for a Crystalline Mean Curvature Flow

Author(s) -

Chambolle Antonin,

Morini Massimiliano,

Ponsiglione Marcello

Publication year - 2017

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.21668

Subject(s) - uniqueness , mathematics , mean curvature flow , flow (mathematics) , curvature , dimension (graph theory) , class (philosophy) , geometric flow , mean curvature , mathematical analysis , pure mathematics , geometry , artificial intelligence , computer science

An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in any dimension and for arbitrary, possibly unbounded, initial closed sets. The comparison principle is obtained by means of a suitable weak formulation of the flow, while the existence of a global‐in‐time solution follows via a minimizing movement approach.© 2016 Wiley Periodicals, Inc.

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