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arXiv:1907.06030 [math.AP]AbstractReferencesReviewsResources

On the convergence rate of some nonlocal energies

Antonin Chambolle, Matteo Novaga, Valerio Pagliari

Published 2019-07-13Version 1

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

Comments: 21 pages
Categories: math.AP, cs.NA, math.FA, math.NA
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