Rate of blow up in the thin obstacle problem

Date: 2022-11-08

Time: 14:00 - 15:00

Zoom link: https://kva-se.zoom.us/j/9217561880


Hui Yu


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).