Semigroups Of Linear Operators
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Semigroups of Linear Operators and Applications to Partial Differential Equations
Author | : Amnon Pazy |
Publsiher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461255611 |
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Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.
Semigroups of Linear Operators
Author | : David Applebaum |
Publsiher | : Cambridge University Press |
Total Pages | : 235 |
Release | : 2019-08-15 |
Genre | : Mathematics |
ISBN | : 9781108483094 |
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Provides a graduate-level introduction to the theory of semigroups of operators.
Semigroups of Linear Operators and Applications
Author | : Jerome A. Goldstein |
Publsiher | : Courier Dover Publications |
Total Pages | : 321 |
Release | : 2017-05-17 |
Genre | : Mathematics |
ISBN | : 9780486812571 |
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Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.
Semigroups of Linear Operators
Author | : A. C. McBride |
Publsiher | : Longman Scientific and Technical |
Total Pages | : 148 |
Release | : 1987 |
Genre | : Linear operators |
ISBN | : UCAL:B4405484 |
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The Asymptotic Behaviour of Semigroups of Linear Operators
Author | : Jan van Neerven |
Publsiher | : Birkhäuser |
Total Pages | : 247 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034892063 |
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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.
One Parameter Semigroups for Linear Evolution Equations
Author | : Klaus-Jochen Engel,Rainer Nagel |
Publsiher | : Springer Science & Business Media |
Total Pages | : 589 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 9780387226422 |
Download One Parameter Semigroups for Linear Evolution Equations Book in PDF, Epub and Kindle
This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
Stability of Operators and Operator Semigroups
Author | : Tanja Eisner |
Publsiher | : Birkhäuser |
Total Pages | : 208 |
Release | : 2019-10-01 |
Genre | : Mathematics |
ISBN | : 9783034601955 |
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The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.
The Adjoint of a Semigroup of Linear Operators
Author | : Jan van Neerven |
Publsiher | : Springer |
Total Pages | : 204 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540474975 |
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This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.