On the spectral gap for fixed membranes
type: Item
instance of: scholarly article
title: On the spectral gap for fixed membranes
zbMATH Open document ID: 1021.35040
DOI: 10.1007/BF02388791
author: Burgess Davis
published in: Arkiv för Matematik
publication date: 2003-06-16T00:00:00Z
review text: The author studies the Dirichlet Laplacian in a convex planer domain \(D\) symmetric about both the \(x\) and \(y\) axes. It is shown that the gap (the distance between the second and first eigenvalues) of \(D\) is no smaller that the gap of the smallest oriented rectangle containing \(D.\)
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 1928896
zbMATH Keywords: Dirichlet Laplacian
reviewed by: Lubomira Softova
MaRDI profile type: Publication
cites work: Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps
cites work: Eigenvalue comparison theorems and its geometric applications
cites work: Q4041031
cites work: An elementary proof of the local central limit theorem
cites work: Comparison theorems for the gap of Schrödinger operators
cites work: A lower bound for the gap between the first two eigenvalues of Schrödinger operators on convex domains in \(\mathbb{S}^ n\) or \(\mathbb{R}^ n\)
cites work: Convergence of stochastic processes
cites work: Precise estimates on the rate at which certain diffusions tend to equilibrium
cites work: Q3739571
cites work: Spectral gaps and rates to equilibrium for diffusions in convex domains
description: scientific article; zbMATH DE number 1928896