One-Parameter Semigroups for Linear Evolution Equations (Graduate Texts in Mathematics, 194)

This book gives an up-to-date account of the theory of one-parameter semigroups of linear evolution equations. It contains a systematic discussion of the spectral theory and the qualitative behavior of semigroups as well as many applicaions to partial differential equations, functional differential eqyations and Volterra equations. This book is written for students and researchers interested in the theory of strongly continuous semigroups and in the applications of semigroup theory.

"This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, to ordinary and partial differential operators, delay and Volterra equations and to control theory, et cetera, and an emphasis on philosophical motivation and the historical background."--BOOK JACKET. "The book is written for students, but should also be of value for researchers interested in this field."--BOOK JACKET.