We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis, and Mironescu, and, after a suitable rescaling, we establish the Γ-convergence of the corresponding rate functionals to a limit functional of second order.
On the convergence rate of some nonlocal energies
Novaga M.;
2020-01-01
Abstract
We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis, and Mironescu, and, after a suitable rescaling, we establish the Γ-convergence of the corresponding rate functionals to a limit functional of second order.File in questo prodotto:
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