One-Parameter Semigroups for Linear Evolution Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226427
Total Pages : 609 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis One-Parameter Semigroups for Linear Evolution Equations by : Klaus-Jochen Engel

Download or read book One-Parameter Semigroups for Linear Evolution Equations written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Semigroup Theory and Evolution Equations

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Author :
Publisher : CRC Press
ISBN 13 : 9780824785451
Total Pages : 550 pages
Book Rating : 4.7/5 (854 download)

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Book Synopsis Semigroup Theory and Evolution Equations by : Philippe Clement

Download or read book Semigroup Theory and Evolution Equations written by Philippe Clement and published by CRC Press. This book was released on 1991-06-24 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e

A Short Course on Operator Semigroups

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Publisher : Springer Science & Business Media
ISBN 13 : 0387313419
Total Pages : 257 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis A Short Course on Operator Semigroups by : Klaus-Jochen Engel

Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

One-parameter Semigroups

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis One-parameter Semigroups by : Edward Brian Davies

Download or read book One-parameter Semigroups written by Edward Brian Davies and published by . This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Concise Guide To Semigroups And Evolution Equations

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Publisher : World Scientific
ISBN 13 : 9813104570
Total Pages : 180 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis A Concise Guide To Semigroups And Evolution Equations by : Belleni-morante Aldo

Download or read book A Concise Guide To Semigroups And Evolution Equations written by Belleni-morante Aldo and published by World Scientific. This book was released on 1994-05-18 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).

Functional Analysis and Evolution Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3764377941
Total Pages : 643 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Functional Analysis and Evolution Equations by : Herbert Amann

Download or read book Functional Analysis and Evolution Equations written by Herbert Amann and published by Springer Science & Business Media. This book was released on 2008-02-28 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer.

One-parameter Semigroups of Positive Operators

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Publisher : Springer
ISBN 13 : 3540397914
Total Pages : 468 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis One-parameter Semigroups of Positive Operators by : Wolfgang Arendt

Download or read book One-parameter Semigroups of Positive Operators written by Wolfgang Arendt and published by Springer. This book was released on 2006-11-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution Equations

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Publisher : CRC Press
ISBN 13 : 1482275953
Total Pages : 440 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Evolution Equations by : Gisele Ruiz Goldstein

Download or read book Evolution Equations written by Gisele Ruiz Goldstein and published by CRC Press. This book was released on 2019-04-24 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764303747
Total Pages : 446 pages
Book Rating : 4.3/5 (37 download)

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Book Synopsis Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics by : Mimmo Iannelli

Download or read book Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics written by Mimmo Iannelli and published by Springer Science & Business Media. This book was released on 2003-07-24 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international conference on which the book is based brought together many of the world's leading experts, with particular effort on the interaction between established scientists and emerging young promising researchers, as well as on the interaction of pure and applied mathematics. All material has been rigorously refereed. The contributions contain much material developed after the conference, continuing research and incorporating additional new results and improvements. In addition, some up-to-date surveys are included.

Evolution Equations and Their Applications in Physical and Life Sciences

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Publisher : CRC Press
ISBN 13 : 1482277484
Total Pages : 532 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Evolution Equations and Their Applications in Physical and Life Sciences by : G Lumer

Download or read book Evolution Equations and Their Applications in Physical and Life Sciences written by G Lumer and published by CRC Press. This book was released on 2019-04-24 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica

Semigroups of Operators -Theory and Applications

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Publisher : Springer
ISBN 13 : 3319121456
Total Pages : 338 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Semigroups of Operators -Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators -Theory and Applications written by Jacek Banasiak and published by Springer. This book was released on 2014-11-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Evolution Equations

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Publisher : CRC Press
ISBN 13 : 0429530056
Total Pages : 267 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Evolution Equations by : Gisele Ruiz Goldstein

Download or read book Evolution Equations written by Gisele Ruiz Goldstein and published by CRC Press. This book was released on 2019-04-24 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li

One-parameter Semigroups

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Author :
Publisher : North Holland
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis One-parameter Semigroups by : Philippe Clément

Download or read book One-parameter Semigroups written by Philippe Clément and published by North Holland. This book was released on 1987 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Short Course on Operator Semigroups

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387366199
Total Pages : 257 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis A Short Course on Operator Semigroups by : Klaus-Jochen Engel

Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its consequences for the qualitative behavior. The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations. Exercises are provided at the end of the chapters.

Abstract Evolution Equations, Periodic Problems and Applications

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Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Abstract Evolution Equations, Periodic Problems and Applications by : D Daners

Download or read book Abstract Evolution Equations, Periodic Problems and Applications written by D Daners and published by Chapman and Hall/CRC. This book was released on 1992-12-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the Pitman Research Notes in Mathematics series, this text covers: linear evolution equations of parabolic type; semilinear evolution equations of parabolic type; evolution equations and positivity; semilinear periodic evolution equations; and applications.

Semigroup Methods for Evolution Equations on Networks

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Publisher : Springer
ISBN 13 : 3319046217
Total Pages : 294 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Semigroup Methods for Evolution Equations on Networks by : Delio Mugnolo

Download or read book Semigroup Methods for Evolution Equations on Networks written by Delio Mugnolo and published by Springer. This book was released on 2014-05-21 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.

Evolution Equations And Approximations

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Publisher : World Scientific
ISBN 13 : 9814488380
Total Pages : 520 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Evolution Equations And Approximations by : Kazufumi Ito

Download or read book Evolution Equations And Approximations written by Kazufumi Ito and published by World Scientific. This book was released on 2002-05-24 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille–Yosida), nonlinear (Crandall–Liggett) and time-dependent (Crandall–Pazy) theorems. The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter–Kato theorem and the Lie–Trotter type product formula give a mathematical framework for the convergence analysis of numerical approximations of solutions to a general class of partial differential equations. This book contains examples demonstrating the applicability of the generation as well as the approximation theory. In addition, the Kobayashi–Oharu approach of locally quasi-dissipative operators is discussed for homogeneous as well as nonhomogeneous equations. Applications to the delay differential equations, Navier–Stokes equation and scalar conservation equation are given. Contents: Dissipative and Maximal Monotone OperatorsLinear SemigroupsAnalytic SemigroupsApproximation of C0-SemigroupsNonlinear Semigroups of ContractionsLocally Quasi-Dissipative Evolution EquationsThe Crandall–Pazy ClassVariational Formulations and Gelfand TriplesApplications to Concrete SystemsApproximation of Solutions for Evolution EquationsSemilinear Evolution EquationsAppendices:Some InequalitiesConvergence of Steklov MeansSome Technical Results Needed in Section 9.2 Readership: Researchers in the fields of analysis & differential equations and approximation theory. Keywords:Evolution Equations;Approximations;Euler;Trotter-Kato;Lie-Trotter;Quasi-Dissipative Operators;K and Y Kobayashi;S OharuReviews:“Ito and Kappel offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K and Y Kobayashi and S Oharu … their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses.”Book News, Inc.