From quasimodes to resonances
type: Item
instance of: scholarly article
title: From quasimodes to resonances
zbMATH Open document ID: 0913.35101
author: Siu-Hung Tang
author: Maciej Zworski
published in: Mathematical Research Letters
publication date: 1998-11-15T00:00:00Z
review text: Stefanov and Vodev obtained a remarkable result which says that for scattering by compactly supported perturbations in odd dimensional Euclidean space, existence of localized quasimodes implies existence of resonances rapidly converging to the real axis. The purpose of this note is to extend this result to all dimensions and to a wide class of non-compactly supported perturbations. Our method also gives lower bounds for the number of resonances in small neighbourhoods of the real axis.
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 1223267
zbMATH Keywords: non-compactly supported perturbations
zbMATH Keywords: number of resonances
MaRDI profile type: Publication
DOI: 10.4310/MRL.1998.V5.N3.A1
description: scientific article; zbMATH DE number 1223267