One-Parameter Semigroups for Linear Evolution Equations

Linear Dynamical Systems.- Semigroups, Generators and Resolvents.- Perturbation and Approximation of Semigroups.- Spectral Theory for Semigroups and Generators.- Asymptotics of Semigroups.- Semigroups Everywhere.- History of the Exponential Function.- Appendices.

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. ...