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math.AP2017★ 3 cited
Variational approximation of size-mass energies for k-dimensional currents
Antonin Chambolle, Luca Alberto Davide Ferrari, Benoît Merlet
In this paper we produce a -convergence result for a class of energies ε modeled on the Ambrosio-Tortorelli functional. For the choice k = 1 we show that ε$,a…
math.AP2017
Existence and uniqueness for anisotropic and crystalline mean curvature flows
Antonin Chambolle, Massimiliano Morini, Matteo Novaga +1
An existence and uniqueness result, up to fattening, for crystalline mean curvature flows with forcing and arbitrary (convex) mobilities, is proven. This is achieved by introducing…