Alessio Figalli

The classical obstacle problem consists of finding the equilibrium position of an elastic membrane whose boundary is held fixed and which is constrained to lie above a given obstacle. By classical results of Caffarelli, the free boundary is smooth...

Abstracts: Speaker: Sun Sig Byun (Seoul National University) Title: Gradient estimates for nonlinear parabolic systems of p-Laplacian type Abstract: We discuss nonlinear gradient estimates for parabolic systems of p-Laplacian type with measurable...

A video of this event is available on mathtube.org The so-called Stefan problem describes the temperature distribution in a homogeneous medium undergoing a phase change, for example ice melting to water. An important goal is to describe the structure...