Sharp inequalities for ratios of partition functions of Schrödinger operators
type: Item
instance of: scholarly article
title: Sharp inequalities for ratios of partition functions of Schrödinger operators
zbMATH Open document ID: 1016.60069
DOI: 10.1023/A:1020992608191
author: Dahae You
published in: Potential Analysis
publication date: 2003-04-27T00:00:00Z
review text: Establishing some hard integral inequalities for multiple integrals, the author is able to derive inequalities for ratios of integrals of heat kernels of certain Schrödinger operators in bounded domains in \(R^{n}\). Such inequalities imply in turn an extension of spectral gap results of \textit{R. Bañuelos} and \textit{P. J. Méndez-Hernández} [J. Funct. Anal. 176, 368-399 (2000; Zbl 0966.35090)].
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 58C40
zbMATH DE Number: 1901240
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: multiple integrals
zbMATH Keywords: isoperimetric inequality
reviewed by: Liliana Popa
MaRDI profile type: Publication
full work available at URL: a:1020992608191
OpenAlex ID: W106905789
description: scientific article; zbMATH DE number 1901240