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

Michael Levitin, Leonid Parnovski

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)272-281
Number of pages10
JournalMathematische Nachrichten
Volume281
Issue number2
DOIs
Publication statusPublished - Feb 2008

Keywords

  • Asymptotic analysis
  • Cones
  • Generalised Neumann problem
  • Principal eigenvalue
  • Robin problem

Fingerprint Dive into the research topics of 'On the principal eigenvalue of a Robin problem with a large parameter'. Together they form a unique fingerprint.

Cite this