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A Short Course on Operator Semigroups

✍ Scribed by Klaus-Jochen Engel, Rainer Nagel


Publisher
Springer
Year
2006
Tongue
English
Leaves
256
Series
Universitext
Edition
1
Category
Library

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✦ Synopsis


The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces.Β  It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem, but also treats the spectral theory of semigroups and its consequences for the qualitative behavior.

The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations, stochastic processes, infinite dimensional control theory, or dynamical systems coming from physics or biology.


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