One-Parameter Semigroups for Linear Evolution Equations

Graduate Texts in Mathematics #194

by Klaus-Jochen Engel, R. Nagel

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, e.g., to ordinary and partial differential operators, delay and Volterra equations and to control theory, and an emphasis on philosophical motivation and the historical background. The book is written for students, but should also be of value for researchers interested in this field.

Genres: Mathematics

586 pages, ebook

First published October 29, 1999

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[HikBook]

In the epilogue, the fundamental physics behind the concept of semigroup, is presented.