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Random homogenization of fractional obstacle problems. (English) Zbl 1156.74359

Summary: 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.

MSC:

74Q05 Homogenization in equilibrium problems of solid mechanics
35R35 Free boundary problems for PDEs
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