The Thin Obstacle Problem: A Survey
Analysis of PDEs
2020-11-09 v1
Abstract
In this work we present a general introduction to the Signorini problem (or thin obstacle problem). It is a self-contained survey that aims to cover the main currently known results regarding the thin obstacle problem. We present the theory with some proofs: from the optimal regularity of solutions and classification of free boundary points, to more recent results on the non-regular part of the free boundary and generic regularity.
Cite
@article{arxiv.2011.03299,
title = {The Thin Obstacle Problem: A Survey},
author = {Xavier Fernández-Real},
journal= {arXiv preprint arXiv:2011.03299},
year = {2020}
}