Random homogenization of fractional obstacle problems

2008, Volume 3, Issue 3: 523-554. doi: 10.3934/nhm.2008.3.523

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

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.
- Homogenization,
- Obstacle Problem,
- Fractional Laplace
Citation: Luis Caffarelli, Antoine Mellet. Random homogenization of fractional obstacle problems[J]. Networks and Heterogeneous Media, 2008, 3(3): 523-554. doi: 10.3934/nhm.2008.3.523

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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.
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