Lower bounds on the number of scattering poles. II
type: Item
instance of: scholarly article
title: Lower bounds on the number of scattering poles. II
zbMATH Open document ID: 0823.35137
author: Maciej Zworski
author: Johannes Sjöstrand
published in: Journal of Functional Analysis
publication date: 1995-01-29T00:00:00Z
review text: In continuation of their paper [Commun. Partial Differ. Equ. 18, No. 5-6, 847-857 (1993; Zbl 0784.35070)] (where several examples were treated), here the authors obtain a very general lower bound on the number of scattering poles, for a wide class of abstract compactly supported perturbations of the Laplacian in \(\mathbb{R}^ n\) (\(n\) odd). The proof is based on the exploitation of the singularities of the wave trace at zero.
reviewed by: André Martinez
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 47A40
zbMATH DE Number: 635904
zbMATH Keywords: resonances
zbMATH Keywords: scattering poles
MaRDI profile type: Publication
full work available at URL: jfan.1994.1092
OpenAlex ID: W2015469411
DOI: 10.1006/JFAN.1994.1092
description: scientific article; zbMATH DE number 635904