Julio D. Rossi

Universidad de Buenos Aires

Coupling and mixing local and nonlocal equations

In this talk we present a simple way of coupling a local and a nonlocal evolution equation in such a way that the usual properties (like existence and uniqueness of solutions, conservation of the total mass, etc) are satisfied. Moreover, we study the limit as we homogenize this setting mixing the regions in which local and nonlocal operators act.

(Based on joint works with A. Garriz (Madrid) and F. Quiros (Madrid) and with M. Capanna (L’Aquila))