Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications

Ó. Ciaurri, L. Roncal, P. R. Stinga +2

The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size $h>0$ \[ (-Δ_h)^su=f, \] for $u,f:{\mathbb{Z}}_h\to \mathbb{R}$, $0…