On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality
type: Item
instance of: scholarly article
title: On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality
zbMATH Open document ID: 1239.35106
DOI: 10.1155/2011/619623
author: Yulia Koroleva
author: Lars-Erik Persson
author: Peter Wall
author: G. A. Chechkin
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: We construct and verify the asymptotic expansion for the spectrum of a boundary-value problem in a unit circle periodically perforated along the boundary. It is assumed that the size of perforation and the distance to the boundary of the circle are of the same smallness. As an application of the obtained results, the asymptotic behavior of the best constant in a Friedrichs-type inequality is investigated.
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 6013209
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/619623
OpenAlex ID: W2157557993
Wikidata QID: Q58686815
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description: scientific article; zbMATH DE number 6013209