On Boundary -- Value Problems for the Laplacian in Boundedand in Unbounded Domains Withperforated Boundaries

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dc.creatorChechkin, Gregory A.
dc.creatorGadyl'shin, Rustem R.
dc.date2003-03-04
dc.date.accessioned2026-07-07T04:29:51Z
dc.date.available2026-07-07T04:29:51Z
dc.descriptionIn the paper we consider boundary -- value problems with rapidly alternating type of boundary conditions, including problems in domains with perforated boundaries. We present the classification of homogenized (limit) problems depending on the ratio of small parameters, which characterize the diameter of parts of the boundary with different types of boundary conditions or on the ratio of small parameters, which characterize the diameter and the distance between holes. Also we studied the analogue of the Helmholtz resonator for domains with perforated boundary.
dc.identifierhttps://arxiv.org/abs/math-ph/0303008
dc.identifierhttp://arxiv.org/abs/math-ph/0303008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57310
dc.subjectMathematical Physics
dc.subject35B25, 35B27, 35J25
dc.titleOn Boundary -- Value Problems for the Laplacian in Boundedand in Unbounded Domains Withperforated Boundaries
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