An Epiperimetric Inequality for the Thin Obstacle problem
Analysis of PDEs
2015-02-27 v2
Abstract
We prove an epiperimetric inequality for the thin obstacle problem, extending the pioneering results by Weiss on the classical obstacle problem (Invent. Math. 138 (1999), no. 1, 23-50). This inequality provides the means to study the rate of converge of the rescaled solutions to their limits, as well as the regularity properties of the free boundary.
Cite
@article{arxiv.1502.07168,
title = {An Epiperimetric Inequality for the Thin Obstacle problem},
author = {Matteo Focardi and Emanuele Spadaro},
journal= {arXiv preprint arXiv:1502.07168},
year = {2015}
}