Higher regularity of the free boundary in the elliptic thin obstacle problem

4 December 2014
12:00
Wenhui Shi
Abstract

In this talk, I will describe how to use the partial hodograph-Legendre transformation to show the analyticity of the free boundary in the elliptic thin obstacle problem. In particular, I will discuss the invertibility of this transformation and show that the resulting fully nonlinear PDE has a subelliptic structure. This is based on a joint work with Herbert Koch and Arshak Petrosyan.

  • PDE CDT Lunchtime Seminar