Abstract: 

The thin obstacle problem is a classical free boundary problem arising from the study of an elastic membrane resting on a lower-dimensional obstacle. Concerning the behavior of the solution near a contact point between the membrane and the obstacle, many important questions remain open. 

In this talk, we discuss a unified method that leads to a rate of convergence to `tangent cones’ at contact points with integer frequencies in general dimensions as well as 7/2-frequency points in 3d.

This talk is based on recent joint works with Ovidiu Savin (Columbia).

Zoom:

Link: https://us02web.zoom.us/j/86472080663?pwd=ekczVVRaRFMvR2RRMzRFTVNUdlRQQT09

ID: 864 7208 0663

Password: 780537