Homogenization in domains randomly perforated along the boundary
Gregory Aleksandrovich Chechkin, Tatiana P. Chechkina, Ciro D’Apice, Umberto De Maio · Discrete and Continuous Dynamical Systems - B · 2009
We study the asymptotic behavior of the solution of the Laplaceequation in a domain perforated along the boundary. Assuming thatthe boundary microstructure is random, we construct the limitproblem and prove the homogenization theorem. Moreover we applythose results to some spectral problems.