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arXiv · 1907.06030

On the convergence rate of some nonlocal energies

Antonin Chambolle·Matteo Novaga·Valerio Pagliari
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Abstract

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.

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Antonin Chambolle, Matteo Novaga, Valerio Pagliari. 2020-03-31. On the convergence rate of some nonlocal energies. https://arxiv.org/abs/1907.06030

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