On Structured Perturbations of Positive Semigroups

Abstract

In this note we generalize perturbation results for positive C0-semigroups on AM- and AL-spaces and give a Weiss--Staffans type perturbation result for generators of positive semigroups on Banach lattices. The abstract results are applied to domain perturbations of generators, a heat equation with boundary feedback and perturbations of the first derivative.

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