Higher regularity of the free boundary in the thin obstacle problem
Homogenization and Random Phenomenon
04 November 14:00 - 14:55
Wenhui Shi - Hausdorff Center for Mathematics
I will describe how to use the partial hodograph-Legendre transformation to show the analyticity of the free boundary in the 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.
KTH Royal Institute of Technology
The University of Chicago