On Perturbations of Generators of $C_0$-Semigroups

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 result are illustrated by applications to the Desch-Schappacher, the Miyadera Voigt perturbation theorems, and to unbounded perturbations of the boundary conditions of a generator.

Cited by in corpus (1)

• A Desch-Schappacher perturbation theorem for bi-continuous semigroups