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Article Contents

# Homogenization in domains randomly perforated along the boundary

• We study the asymptotic behavior of the solution of the Laplace equation in a domain perforated along the boundary. Assuming that the boundary microstructure is random, we construct the limit problem and prove the homogenization theorem. Moreover we apply those results to some spectral problems.
Mathematics Subject Classification: Primary: 35B27, 35P05; Secondary: 76M50.

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