On Spectrum of the Laplacian in a Circle Perforated along the Boundary : Application to a Friedrichs-Type Inequality
Joint Authors
Koroleva, Yu. O.
Wall, Peter
Chechkin, G. A.
Persson, Lars-Erik
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-15
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chechkin, G. A.& Koroleva, Yu. O.& Persson, Lars-Erik& Wall, Peter. 2011. On Spectrum of the Laplacian in a Circle Perforated along the Boundary : Application to a Friedrichs-Type Inequality. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-485699
Modern Language Association (MLA)
Chechkin, G. A.…[et al.]. On Spectrum of the Laplacian in a Circle Perforated along the Boundary : Application to a Friedrichs-Type Inequality. International Journal of Differential Equations No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-485699
American Medical Association (AMA)
Chechkin, G. A.& Koroleva, Yu. O.& Persson, Lars-Erik& Wall, Peter. On Spectrum of the Laplacian in a Circle Perforated along the Boundary : Application to a Friedrichs-Type Inequality. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-485699
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485699
