JournalsaihpcVol. 26, No. 2pp. 375–395

Random homogenization of an obstacle problem

  • L.A. Caffarelli

    Department of Mathematics and ICES, University of Texas at Austin, Austin, TX 78712, USA

  • A. Mellet

    Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
Random homogenization of an obstacle problem cover
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Abstract

We study the homogenization of an obstacle problem in a perforated domain, when the holes are periodically distributed and have random shape and size. The main assumption concerns the capacity of the holes which is assumed to be stationary ergodic.

Cite this article

L.A. Caffarelli, A. Mellet, Random homogenization of an obstacle problem. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 2, pp. 375–395

DOI 10.1016/J.ANIHPC.2007.09.001