Convergence of One-parameter Operator Semigroups PDF Download
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Author: Adam Bobrowski
Publisher:
ISBN: 9781316553794
Category : Semigroups of operators
Languages : en
Pages : 438
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Book Description
Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.
Author: Adam Bobrowski
Publisher:
ISBN: 9781316553794
Category : Semigroups of operators
Languages : en
Pages : 438
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Book Description
Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.
Author: Adam Bobrowski
Publisher: Cambridge University Press
ISBN: 1107137438
Category : Mathematics
Languages : en
Pages : 453
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Book Description
Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.
Author: Wolfgang Arendt
Publisher: Springer
ISBN: 3540397914
Category : Mathematics
Languages : en
Pages : 468
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Book Description
Author: Klaus-Jochen Engel
Publisher: Springer Science & Business Media
ISBN: 0387984631
Category : Mathematics
Languages : en
Pages : 609
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Book Description
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.
Author: Philippe Clément
Publisher: North Holland
ISBN:
Category : Semigroups
Languages : en
Pages : 332
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Book Description
The theory of semigroups of operators was initiated by E. Hille in his monograph Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications is enormous and includes problems in mathematical physics, probability theory and control theory. The purpose of this book is to illustrate the richness of the theory of one-parameter semigroups by examining some of its various aspects. It is written in such a way that all three parts can be read more or less independently; it is assumed that the reader is familiar with some of the basic principles of functional analysis.
Author: Klaus-Jochen Engel
Publisher: Springer Science & Business Media
ISBN: 0387313419
Category : Mathematics
Languages : en
Pages : 257
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Book Description
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.
Author: Eduard Yu. Emel'yanov
Publisher: Springer Science & Business Media
ISBN: 3764381140
Category : Mathematics
Languages : en
Pages : 181
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Book Description
In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Related results, historical notes, exercises, and open problems accompany each chapter.
Author: David Applebaum
Publisher: Cambridge University Press
ISBN: 1108623522
Category : Mathematics
Languages : en
Pages : 235
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Book Description
The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller–Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann–Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.
Author: Edward Brian Davies
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 248
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Book Description
Author: Klaus-Jochen Engel
Publisher: Springer Science & Business Media
ISBN: 0387226427
Category : Mathematics
Languages : en
Pages : 589
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Book Description
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.
