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Polynomial stability of operator semigroups

✍ Scribed by András Bátkai; Klaus-Jochen Engel; Jan Prüss; Roland Schnaubelt

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
212 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We investigate polynomial decay of classical solutions of linear evolution equations. For bounded strongly continuous semigroups on a Banach space this property is closely related to polynomial growth estimates of the resolvent of the generator. For systems of commuting normal operators polynomial decay is characterized in terms of the location of the generator spectrum. The results are applied to systems of coupled wave‐type equations. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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