# American Institute of Mathematical Sciences

September  2008, 3(3): 523-554. doi: 10.3934/nhm.2008.3.523

## Random homogenization of fractional obstacle problems

 1 Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX 78712-1082, United States 2 Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

Received  January 2008 Published  March 2008

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.
Citation: Luis Caffarelli, Antoine Mellet. Random homogenization of fractional obstacle problems. Networks & Heterogeneous Media, 2008, 3 (3) : 523-554. doi: 10.3934/nhm.2008.3.523
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