# FAU MoD Lecture: Free boundary regularity for the obstacle problem

Date: Wed. October 11, 2023 at 14:00H

Organized by: FAU MoD, FAU Research Center for Mathematics of Data

http://www.mod.fau.eu<http://www.mod.fau.eu/>

FAU MoD Lecture:

Free boundary regularity for the obstacle problem

By Prof. Dr. Alessio Figalli

ETH Zürich, Switzerland

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.

Online: https://fau.zoom.us/j/61446581599?pwd=WmJLZWF2Sld0aGhaWW9EbzUwTWR4QT09

Meeting ID: 614 4658 1599

SEE MORE:

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