Dott. Stefano Buccheri (University of Vienna)

Abstract: This talk focuses on a nonlocal operator of fractional-laplacian type, where integration is taken on a variable domain. Similar operators arise naturally in the hydrodynamic limit of suitable kinetic equations in bounded domains.
We prove that the associated elliptic and parabolic problems admit a unique viscosity solution. In addition, we study the corresponding eigenvalue problems. This is a joint work with Ulisse Stefanelli.