Global convoluted semigroups

✍ Scribed by M. Kostić; S. Pilipović

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 243 KB
• Volume: 280
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200510574

✦ Synopsis

Abstract

Global exponentially bounded convoluted semigroups in Banach spaces are systematically treated with the help of Laplace transform. A perturbation theorem in this context is proved and some characterizations of the introduced class of analytic convoluted semigroups are obtained. Illustrative examples of generators of convoluted semigroups, including differential operators, are presented. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)