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arXiv · 2405.18947

On Structured Perturbations of Positive Semigroups

Alessio Barbieri·Klaus-Jochen Engel
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Abstract

In this note we generalize perturbation results for positive $C_0$-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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Alessio Barbieri, Klaus-Jochen Engel. 2024-05-29. On Structured Perturbations of Positive Semigroups. https://arxiv.org/abs/2405.18947

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