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))