On Perturbations of Generators ofC0-Semigroups-Reference-Cited by-同舟云学术

On Perturbations of Generators ofC0-Semigroups

Published:2014 Issue: Volume:2014 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Adler Martin¹^ORCID,Bombieri Miriam¹^ORCID,Engel Klaus-Jochen²^ORCID

Affiliation:

1. Arbeitsbereich Funktionalanalysis, Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, Germany

2. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica (DISIM), Università degli Studi dell’Aquila, Via Vetoio, 67100 L’Aquila, Italy

Abstract

We present a perturbation result for generators ofC0-semigroups which can be considered as an operator theoretic version of the Weiss-Staffans perturbation theorem for abstract linear systems. The results are illustrated by applications to the Desch-Schappacher and the Miyadera-Voigt perturbation theorems and to unbounded perturbations of the boundary conditions of a generator.

Funder

Tuebingen University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/213020.pdf

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