In this article we review recent results concerning limits of solutions to nonlocal equations when a rescaling parameter goes to zero. We recover some of the most frequently used diffusion…
In this article we review recent results concerning limits of solutions to nonlocal equations when a rescaling parameter goes to zero. We recover some of the most frequently used diffusion models: the heat equation with Neumann or Direchlet boundary conditions, the p−Laplace equation with Neumann boundary conditions and a convection-diffusion equation. Key words: Non-local diffusion, Newmann boundary conditions. AMS subject classifications: 35B40 45M05 45G10.