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A Short Course on Operator 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Engel, Klaus-Jochen (Autor), Nagel, Rainer (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Universitext,
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 2 |a A Short Course on Operator Semigroups  |h [electronic resource] /  |c by Klaus-Jochen Engel, Rainer Nagel. 
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300 |a X, 248 p.  |b online resource. 
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505 0 |a Semigroups, Generators, and Resolvents -- Perturbation of Semigroups -- Approximation of Semigroups -- Spectral Theory and Asymptotics for Semigroups -- Positive Semigroups. 
520 |a 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. 
650 0 |a Operator theory. 
650 0 |a Mathematical analysis. 
650 1 4 |a Operator Theory. 
650 2 4 |a Analysis. 
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