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math.AP2007
Random Homogenization of Fractional Obstacle Problems
L. A. Caffarelli, A. Mellet
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 domain…
math.AP2007★ 1 cited
Random homogenization of an obstacle problem
Luis A. Caffarelli, Antoine Mellet
We study the homogenization of an obstacle problem in a perforated domain. The holes are periodically distributed but have random size and shape. The capacity of the holes is assum…