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On spectrum of the Laplacian in a circle perforated along the boundary : Application to a Friedrichs-type inequality
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- Chechkin, Gregory (author)
- Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University
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- Koroleva, Yulia (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- (creator_code:org_t)
- Hindawi Limited, 2011
- 2011
- English.
- In: International Journal of Differential Equations. - : Hindawi Limited. - 1687-9643 .- 1687-9651. ; 2011
- Journal article (peer-reviewed)
Abstract
Subject headings
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- In this paper 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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- Luleå University of Technology
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