The spectrum of a hyperbolic evolution operator
type: Item
instance of: scholarly article
title: The spectrum of a hyperbolic evolution operator
zbMATH Open document ID: 0857.35075
author: Jeffery Cooper
author: Herbert Koch
published in: Journal of Functional Analysis
publication date: 1997-03-17T00:00:00Z
review text: The spectrum of the time \(T\)-map \(U\), which maps initial data \((u(0),u_t(0))\) to \((u(T),u_t(T))\), the solution of the homogeneous wave equation in a domain with time \(T\)-periodic boundary, is completely analyzed. The spectrum is a unit circle if a rotation number is irrational and it is a full annulus if this number is rational and a weak additional assumption is satisfied.
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 850611
zbMATH Keywords: spectrum of hyperbolic operator
zbMATH Keywords: periodic boundary
zbMATH Keywords: rotation number
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
full work available at URL: jfan.1995.1127
OpenAlex ID: W2001960927
DOI: 10.1006/JFAN.1995.1127
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description: scientific article; zbMATH DE number 850611