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arXiv:2405.18947 [math.FA]AbstractReferencesReviewsResources

On Structured Perturbations of Positive Semigroups

Alessio Barbieri, Klaus-Jochen Engel

Published 2024-05-29Version 1

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.

Comments: 37 pages
Categories: math.FA, math.AP
Subjects: 47D06, 47A55, 34G10, 46B42
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