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On the principal eigenvalue of a Robin problem with a large parameter

✍ Scribed by Michael Levitin; Leonid Parnovski

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
157 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We study the asymptotic behaviour of the principal eigenvalue of a Robin (or generalised Neumann) problem with a large parameter in the boundary condition for the Laplacian in a piecewise smooth domain. We show that the leading asymptotic term depends only on the singularities of the boundary of the domain, and give either explicit expressions or two‐sided estimates for this term in a variety of situations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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