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Chaos for semigroups of unbounded operators

✍ Scribed by R. deLaubenfels; H. Emamirad; K.-G. Grosse-Erdmann

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
196 KB
Volume
261-262
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we generalize the notion of hypercyclic and chaotic semigroups to families of unbounded operators. We study this concept within the frameworks of C‐regularized semigroups and of regular distribution semigroups. We then apply our results to unbounded semigroups generated by differential operators with constant coefficients in weighted spaces and to the unbounded semigroup {(–Δ)^t^}~tβ‰₯0~, where . is the Laplacian operator. (Β© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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