On the convergence rate of some nonlocal energies

07/13/2019

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by   Antonin Chambolle, et al.

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We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis and Mironescu. In particular we establish the Γ-convergence of the corresponding rate functionals, suitably rescaled, to a limit functional of second order.