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.
On perturbations of generators of C_0-semigroups
ENGEL, KLAUS JOCHEN OTTO;
2014-01-01
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.File in questo prodotto:
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