Laplacians in interaction
type: Item
instance of: scholarly article
title: Laplacians in interaction
zbMATH Open document ID: 0805.58060
DOI: 10.1007/BF02567600
author: Colette Anné
published in: Manuscripta Mathematica
publication date: 1995-02-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155947
review text: The author studies the asymptotics of the eigenfunctions of the Laplacian on a compact Riemannian manifold in the situation of adding handles. It is shown that resonance between the two limit manifolds can only occur when the difference of their dimension is one or two.
Mathematics Subject Classification ID: 58J37
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 599664
zbMATH Keywords: asymptotics
zbMATH Keywords: eigenfunctions
zbMATH Keywords: Laplacian
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: adding handles
reviewed by: Jürgen Marschall
MaRDI profile type: Publication
cites work: Spectre du laplacien et écrasement d'anses
cites work: Fonctions Properes Sur Des Variétés Avec Des Anses Fines, Applcation À La Multiplicité
cites work: Q4720334
cites work: Sur la multiplicité de la première valeur propre non nulle du Laplacien. (On the multiplicity of the first nonzero eigenvalue of the Laplacian)
cites work: Semi-classical analysis for the Schrödinger operator and applications
cites work: Q3981481
cites work: Multiple wells in the semi-classical limit I
OpenAlex ID: W2049126926
description: scientific article; zbMATH DE number 599664