The Asymptotic Behaviour of Semigroups of Linear Operators PDF Download

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The Asymptotic Behaviour of Semigroups of Linear Operators

The Asymptotic Behaviour of Semigroups of Linear Operators PDF Author: Jan van Neerven
Publisher: Birkhäuser
ISBN: 3034892063
Category : Mathematics
Languages : en
Pages : 247

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Book Description
This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.