Spectrum of manifolds with holes
type: Item
instance of: scholarly article
title: Spectrum of manifolds with holes
zbMATH Open document ID: 0847.58076
author: Gilles Courtois
published in: Journal of Functional Analysis
publication date: 1996-10-21T00:00:00Z
review text: The author studies the spectrum of a bounded Euclidean domain \(X\) with a compact subset of small capacity removed. In particular he shows that there is a perturbation theory for the Dirichlet spectrum of \(X \setminus A\) where \(A\) is any ``small'' compact subset of \(X\) and the ``parameter'' of the perturbation is the capacity of \(A\) itself.
reviewed by: Themistocles M. Rassias
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 58J37
Mathematics Subject Classification ID: 31C15
zbMATH DE Number: 847469
zbMATH Keywords: spectrum of manifolds
zbMATH Keywords: Euclidean domains
zbMATH Keywords: Dirichlet conditions
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Green function
zbMATH Keywords: capacity
MaRDI profile type: Publication
full work available at URL: jfan.1995.1142
OpenAlex ID: W2020501430
DOI: 10.1006/JFAN.1995.1142
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description: scientific article; zbMATH DE number 847469