Accepted Paper

Inserted: 3 may 2018
Last Updated: 3 may 2018

Journal: COM.PDE
Year: 2018

Abstract:

We study a quite general family of nonlinear evolution equations of diffusive type with nonlocal effects. More precisely, we study porous medium equations with a fractional Laplacian pressure, and the problem is posed on a bounded space domain. We prove existence of weak solutions and suitable a priori bounds and regularity estimates.