On boundary-value problems for the laplacian in bounded and in unbounded domains with perforated boundaries

摘要

In this paper we consider boundary-value problems in domains with perforated boundaries. We use the classification of homogenized (limit) problems depending on the ratio of small parameters, which characterize the diameter of the holes and the distance between them. We study the analogue of the Helmholtz resonator for domains with a perforated boundary. (c) 2005 Elsevier Inc. All rights reserved.