On Perturbations of Generators of C0-Semigroups

On Perturbations of Generators of C0-Semigroups

We present a perturbation result for generators of C0-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 t...

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Veröffentlicht in:Abstract and applied analysis 2014-01, Vol.2014 (2014), p.1-13
Hauptverfasser: Adler, Martin, Engel, Klaus-Jochen, Bombieri, Miriam
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Control theory
Generators
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Beschreibung
Zusammenfassung:We present a perturbation result for generators of C0-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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/213020