Graduate Texts in Mathematics

One-Parameter Semigroups for Linear Evolution Equations

Authors: Engel, Klaus-Jochen, Nagel, Rainer

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  • ISBN 978-0-387-22642-2
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Hardcover 83,19 €
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  • ISBN 978-0-387-98463-6
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Softcover 77,99 €
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  • ISBN 978-1-4757-7409-2
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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 at the 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)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 63,06 €
price for Spain (gross)
  • ISBN 978-0-387-22642-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-0-387-98463-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 77,99 €
price for Spain (gross)
  • ISBN 978-1-4757-7409-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
One-Parameter Semigroups for Linear Evolution Equations
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
194
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-387-22642-2
DOI
10.1007/b97696
Hardcover ISBN
978-0-387-98463-6
Softcover ISBN
978-1-4757-7409-2
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XXI, 589
Topics