We present a perturbation result for generators of C_0-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.
Titolo: | On perturbations of generators of C_0-semigroups |
Autori: | |
Data di pubblicazione: | 2014 |
Rivista: | |
Abstract: | We present a perturbation result for generators of C_0-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. |
Handle: | http://hdl.handle.net/11697/16160 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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