One-Parameter Semigroups for Linear Evolution Equations [Hardcover]

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.

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 thl#