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＜電子ブック＞
A Short Course on Operator Semigroups / by Klaus-Jochen Engel, Rainer Nagel
(Universitext. ISSN:21916675)

版	1st ed. 2006.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	X, 248 p : online resource
著者標目	*Engel, Klaus-Jochen author Nagel, Rainer author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Mathematical analysis FREE:Operator Theory FREE:Analysis
一般注記	Semigroups, Generators, and Resolvents -- Perturbation of Semigroups -- Approximation of Semigroups -- Spectral Theory and Asymptotics for Semigroups -- Positive Semigroups The book gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach spaces. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups. The special feature is its treatment of spectral theory leading to a detailed qualitative theory for these semigroups. This theory provides a very efficient tool for the study of linear evolution equations arising as partial differential equations, functional differential equations, stochastic differential equations, and others. Therefore, the book is intended for those wanting to learn and apply functional analytic methods to linear time dependent problems arising in theoretical and numerical analysis, stochastics, physics, biology, and other sciences. It should be of interest to graduate students and researchers in these fields HTTP:URL=https://doi.org/10.1007/0-387-36619-9

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