Date: Wed. October 11, 2023
Event: FAU MoD Lecture
Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)

FAU MoD Lecture: Free boundary regularity for the obstacle problem
Speaker: Prof. Dr. Alessio Figalli
Affiliation: ETH Zürich, Switzerland

Abstract. The classical obstacle problem consists of finding the equilibrium position of an elastic membrane whose boundary is held fixed and constrained to lie above a given obstacle. By classical results of Caffarelli, the free boundary is smooth outside a set of singular points. However, explicit examples show that the singular set could be, in general, as large as the regular set. This talk aims to introduce this beautiful problem and describe some classical and recent results on the regularity of the free boundary.

You can find more details of this FAU MoD lecture at:

https://mod.fau.eu/fau-mod-lecture-free-boundary-regularity-for-the-obstacle-problem/