##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry Seminar

## Hui Yu

#### Columbia

## Contact points with integer frequencies in the thin obstacle problem

##### 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. \\ \\ This talk is based on a recent joint work with Ovidiu Savin.

Hosts: Lei Ni and Luca Spolaor

### May 19, 2021

### 11:00 AM

### Zoom ID 917 6172 6136

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