Semigroups Of Operators Theory And Applications

Author : Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz
Publisher : Springer
Page : 337 pages
File Size : 48,7 Mb
Release : 2014-11-20
Category : Mathematics
ISBN : 9783319121451

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Semigroups of Operators -Theory and Applications by Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz Pdf

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.

Author : Jerome A. Goldstein
Publisher : Courier Dover Publications
Page : 321 pages
File Size : 41,7 Mb
Release : 2017-05-17
Category : Mathematics
ISBN : 9780486812571

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Semigroups of Linear Operators and Applications by Jerome A. Goldstein Pdf

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.

Author : Clement
Publisher : CRC Press
Page : 476 pages
File Size : 40,6 Mb
Release : 1989-06-28
Category : Mathematics
ISBN : 0824780884

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semigroup theory and applications by Clement Pdf

This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.

Author : O. Bratteli,P.E.T. Jørgensen
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400964846

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Positive Semigroups of Operators, and Applications by O. Bratteli,P.E.T. Jørgensen Pdf

This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1

Author : A.V. Balakrishnan
Publisher : Birkhäuser
Page : 376 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884174

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Semigroups of Operators: Theory and Applications by A.V. Balakrishnan Pdf

These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.

Author : Amnon Pazy
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461255611

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Semigroups of Linear Operators and Applications to Partial Differential Equations by Amnon Pazy Pdf

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.

Author : Jerome A. Goldstein
Publisher : Courier Dover Publications
Page : 320 pages
File Size : 54,8 Mb
Release : 2017-05-17
Category : Mathematics
ISBN : 9780486822228

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Semigroups of Linear Operators and Applications by Jerome A. Goldstein Pdf

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.

Author : Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz,Yuri Tomilov
Publisher : Springer Nature
Page : 446 pages
File Size : 44,5 Mb
Release : 2020-06-12
Category : Mathematics
ISBN : 9783030460792

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Semigroups of Operators – Theory and Applications by Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz,Yuri Tomilov Pdf

This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida’s fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: it develops rapidly by posing new ‘internal’ questions and, in answering them, discovering new methods that can be used in applications. On the other hand, it is being influenced by questions from PDE’s and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.

Author : David Applebaum
Publisher : Cambridge University Press
Page : 235 pages
File Size : 54,8 Mb
Release : 2019-08-15
Category : Mathematics
ISBN : 9781108483094

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Semigroups of Linear Operators by David Applebaum Pdf

Provides a graduate-level introduction to the theory of semigroups of operators.

Author : Tanja Eisner
Publisher : Birkhäuser
Page : 208 pages
File Size : 50,6 Mb
Release : 2019-10-01
Category : Mathematics
ISBN : 9783034601955

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Stability of Operators and Operator Semigroups by Tanja Eisner Pdf

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.

Author : Kalyan B. Sinha,Sachi Srivastava
Publisher : Springer
Page : 169 pages
File Size : 53,5 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9789811048647

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Theory of Semigroups and Applications by Kalyan B. Sinha,Sachi Srivastava Pdf

The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman–Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts.

Author : Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz,Yuri Tomilov
Publisher : Unknown
Page : 446 pages
File Size : 45,5 Mb
Release : 2020
Category : Analysis (Mathematics)
ISBN : 3030460800

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Semigroups of Operators - Theory and Applications by Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz,Yuri Tomilov Pdf

This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida's fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: it develops rapidly by posing new 'internal' questions and, in answering them, discovering new methods that can be used in applications. On the other hand, it is being influenced by questions from PDE's and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.

Author : Paul Leo Butzer,Hubert Berens
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 47,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783642460661

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Semi-Groups of Operators and Approximation by Paul Leo Butzer,Hubert Berens Pdf

In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory. These advances have primarily been achieved by introducing the theory of intermediate spaces. The applications of the theory not only permit integration of a series of diverse questions from many domains of mathematical analysis but also lead to significant new results on classical approximation theory, on the initial and boundary behavior of solutions of partial differential equations, and on the theory of singular integrals. The aim of this book is to present a systematic treatment of semi groups of bounded linear operators on Banach spaces and their connec tions with approximation theoretical questions in a more classical setting as well as within the setting of the theory of intermediate spaces. However, no attempt is made to present an exhaustive account of the theory of semi-groups of operators per se, which is the central theme of the monumental treatise by HILLE and PHILLIPS (1957). Neither has it been attempted to give an account of the theory of approximation as such. A number of excellent books on various aspects of the latter theory has appeared in recent years, so for example CHENEY (1966), DAVIS (1963), LORENTZ (1966), MEINARDUS (1964), RICE (1964), SARD (1963). By contrast, the present book is primarily concerned with those aspects of semi-group theory that are connected in some way or other with approximation.

Author : A. V. Balakrishnan
Publisher : Birkhauser
Page : 367 pages
File Size : 46,6 Mb
Release : 2000
Category : Mathematics
ISBN : 081766310X

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Semigroups of Operators by A. V. Balakrishnan Pdf

Author : Nicolae H. Pavel
Publisher : Springer
Page : 292 pages
File Size : 50,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540471868

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Nonlinear Evolution Operators and Semigroups by Nicolae H. Pavel Pdf

This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.