90 citations · 408 across the 55 of their papers we have counts for
4 papers · 2 filters
Mullins-Sekerka as the Wasserstein flow of the perimeter
Antonin Chambolle, Tim Laux
We prove the convergence of an implicit time discretization for the one-phase Mullins-Sekerka equation, possibly with additional non-local repulsion, proposed in [F. Otto, Arch. Ra…
On the convergence rate of some nonlocal energies
Antonin Chambolle, Matteo Novaga, Valerio Pagliari
We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis and Mironescu. In particular we establish the -convergence of the correspon…
Mumford-Shah functionals on graphs and their asymptotics
Marco Caroccia, Antonin Chambolle, Dejan Slepčev
We consider adaptations of the Mumford-Shah functional to graphs. These are based on discretizations of nonlocal approximations to the Mumford-Shah functional. Motivated by applica…
Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals
Leon Bungert, Martin Burger, Antonin Chambolle +1
This paper establishes a theory of nonlinear spectral decompositions by considering the eigenvalue problem related to an absolutely one-homogeneous functional in an infinite-dimens…