Random Homogenization of Fractional Obstacle Problems
Analysis of PDEs
2007-11-15 v1
Abstract
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem in perforated domains.
Cite
@article{arxiv.0711.2266,
title = {Random Homogenization of Fractional Obstacle Problems},
author = {L. A. Caffarelli and A. Mellet},
journal= {arXiv preprint arXiv:0711.2266},
year = {2007}
}