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One-Parameter Semigroups for Linear Evolution Equations

Part of the book series: Graduate Texts in Mathematics (GTM, volume 194)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xxi
  2. Semigroups Everywhere

    Pages 347-496
  3. Back Matter

    Pages 509-589

Reviews

From the reviews:

"This book is a real asset for people who work in the field of operator semigroups, or want to. It is a beauty, not only because it contains so much information, but also because the authors have done everything conceivable to put the whole subject in the right historical and contemporary context." (J. van Casteren, Nieuw Archief voor Wiskunde, Vol. 5/6 (4), 2005)

"This is an excellent introduction to semigroups of operators and applications. … The book can be recommended primarily to graduate students, but it is also of interest to researchers." (Tibor Krisztin, Acta Scientiarum Mathematicarum, Vol. 69, 2003)

"This book is a continuation of a series of monographs on one-parameter semigroups … . The book is well written. … It contains a sufficient number of instructive examples in every chapter. … Moreover, a lot of exercises are given which may help to understand the abstract theory. Altogether the book can also be used as a good basis for a series of lectures on that topic." (M. Demuth, Jahresberichte der Deutschen Mathematiker Vereinigung, Vol. 104 (1), 2002)

"The present volume can be considered an up-to-date exposition of the theory and applications of linear semigroup theory … . A detailed history of the exponential function and its connection with semigroup theory gives interesting information … . A useful appendix is added to help the reader … . In conclusion, by virtue of its clearness of style and ease of consultation, this book can be recommended to the beginners as well as to the experts in semigroup theory … ." (Gabriella Di Blasio, Semigroup Forum, Vol. 63 (2), 2001)

"In this book the authors give an excellent presentation of the theory of semigroups … . The reader can use the text as an introduction … . At the same time, this book contains many new and very recent results of the theory and its application, thus it is also of great value for experts. … Notes atthe end of each chapter contain many hints to additional material. Each section ends with a collection of exercises. … The book turned out very well." (Karl-Heinz Förster, Zentralblatt MATH, Vol. 952, 2001)

"The book offers an introduction to strongly continuous one-parameter semigroups in Banach spaces. … The book is very well written. Besides the basic text it contains many illustrating examples, exercises and notes. It will certainly be very useful for advanced students and for those mathematicians who want to be acquainted with the most recent results of the field. … also those who are interested in functional analytic ideas and methods will enjoy reading it." (H. Langer, Internationale Mathematische Nachrichten, Issue 185, 2000)

"This book provides a comprehensive and up-to-date introduction to, and exposition of, the theory of strongly continuous one-parameter semigroups of linear operators and of its applications … . The book is clearly written, well organized, provides much information and numerous examples … . Therefore, I can highly recommend this book both to students with a background in basic functional analysis as an introduction into this field, as well as to researchers as a modern and comprehensive exposition of the theory and its applications." (R. Bürger, Monatshefte für Mathematik, Vol. 131 (2), 2000)

"This book is a broad introduction to the theory of C0-semigroups. … The steady pace of the text and the very high quality of the exposition make the material in this book easily accessible … . the book’s greatest impact is likely to be through tempting graduate students to learn about semigroups of operators … . the book should also be of interest to experienced researchers. Most specialists in semigroup theory and applications will be glad to have it … ." (C. J. K. Batty, Mathematical Reviews, Issue 2000 i)

Authors and Affiliations

  • Facoltà Ingegneria, Università di L’Aquila Località Monteluco, Roio Poggio (AQ), Italy

    Klaus-Jochen Engel

  • Mathematisches Institut, Universität Tübingen, Germany

    Rainer Nagel

Bibliographic Information

  • Book Title: One-Parameter Semigroups for Linear Evolution Equations

  • Authors: Klaus-Jochen Engel, Rainer Nagel

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/b97696

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98463-6Published: 29 October 1999

  • Softcover ISBN: 978-1-4757-7409-2Published: 17 March 2013

  • eBook ISBN: 978-0-387-22642-2Published: 06 April 2006

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XXI, 589

  • Topics: Analysis

Buy it now

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access