Special Session 124: Mathematical methods for heterogeneous media
Riesz fractional gradient functionals defined on partitions: Nonlocal-to-local variational limits
Stefano Almi
University of Naples Federico II Italy
Co-Author(s): Maicol Caponi, Manuel Friedrich, Francesco Solombrino
Abstract:
We address 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 we characterize their local limiting functionals in the sense of Gamma-convergence.