On Perturbations of Generators of -Semigroups

Martin Adler, Miriam Bombieri and Klaus-Jochen Engel

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

Abstract:

We present a perturbation result for generators of -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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:213020

DOI: 10.1155/2014/213020

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