Abstract
A boundary value problem of mixed type for the Laplace equation is considered. The boundary values are prescribed on the surfaces of n randomly distributed obstacles of linear size n -1. For n→∞, the effective limit equation is characterized and the fluctuations around the limit are explicitly computed.
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Figari, R., Teta, A. Effective potential and fluctuations for a boundary value problem on a randomly perforated domain. Lett Math Phys 26, 295–305 (1992). https://doi.org/10.1007/BF00420239
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DOI: https://doi.org/10.1007/BF00420239