This paper addresses the asymptotics of functionals with linear growth depending on the Riesz s-fractional gradient on piecewise constant functions. We consider a general class of varying energy densities and, as s→1, we characterize their local limiting functionals in the sense of Γ-convergence.
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits / Almi, Stefano; Caponi, Maicol; Friedrich, Manuel; Solombrino, Francesco. - (2025).
Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits
Stefano Almi
;Maicol Caponi;Manuel Friedrich;Francesco Solombrino
2025
Abstract
This paper addresses the asymptotics of functionals with linear growth depending on the Riesz s-fractional gradient on piecewise constant functions. We consider a general class of varying energy densities and, as s→1, we characterize their local limiting functionals in the sense of Γ-convergence.File in questo prodotto:
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