Special Session 128: 

Optimal Regularity for the Thin Obstacle Problem with Hoelder Coefficients

Angkana Rueland
Max-Planck Institute for Mathematics in the Sciences
Germany
Co-Author(s):    
Abstract:
In this talk I will present a regularity result for the thin obstacle problem, which is a free boundary value problem of obstacle type, where the obstacle is constrained to a co-dimension one set. More precisely, I will describe a linearization technique, which allows to deduce optimal regularity in the framework of only $C^{0,\alpha}$ Holder continuous, variable coefficients. The talk is based on joint work with Wenhui Shi.