Miguel Urbano: Sharp regularity for a singular free boundary problem

Speaker
Miguel Urbano, KAUST

Abstract
We will report on sharp local regularity estimates for viscosity solutions of fully nonlinear parabolic free boundary problems with singular absorption terms. The main difficulties in the analysis stem from the blow-up of the source along the free boundary and the lack of a variational structure to the problem. The talk is based on joint work with Damião Araújo and Ginaldo Sá (UFPB, Brazil).