Main The Asymptotic Behaviour of Semigroups of Linear Operators
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The Asymptotic Behaviour of Semigroups of Linear Operators

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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.
Request Code : ZLIBIO858090
Categories:
Year:
1996
Edition:
1
Publisher:
Birkhauser
Language:
English
Pages:
243
ISBN 10:
3764354550
ISBN 13:
9783764354558
ISBN:
3764354550,9783764354558
Series:
Operator Theory: Advances and Applications

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