The Classical Obstacle problem with coefficients in fractional Sobolev spaces
Analysis of PDEs
2017-09-05 v1
Abstract
We prove quasi-monotonicity formulae for classical obstacle-type problems with quadratic energies with coefficients in fractional Sobolev spaces, and a linear term with a Dini-type continuity property. These formulae are used to obtain the regularity of free-boundary points following the approaches by Caffarelli, Monneau and Weiss.
Keywords
Cite
@article{arxiv.1709.01003,
title = {The Classical Obstacle problem with coefficients in fractional Sobolev spaces},
author = {Francesco Geraci},
journal= {arXiv preprint arXiv:1709.01003},
year = {2017}
}