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Networks and Heterogeneous Media

2008, Volume 3, Issue 3: 523-554. doi: 10.3934/nhm.2008.3.523
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Random homogenization of fractional obstacle problems

  • 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
  • Received: 01 January 2008

  • Primary: 74Q05; Secondary: 35R35.

  • 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[J]. Networks and Heterogeneous Media, 2008, 3(3): 523-554. doi: 10.3934/nhm.2008.3.523

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  • 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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    2. Marcone C. Pereira, Nonlocal evolution equations in perforated domains, 2018, 41, 01704214, 6368, 10.1002/mma.5144
    3. Marcone C. Pereira, Julio D. Rossi, An Obstacle Problem for Nonlocal Equations in Perforated Domains, 2018, 48, 0926-2601, 361, 10.1007/s11118-017-9639-5
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  • © 2008 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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