On Structured Perturbations of Positive Semigroups

2024/05/29 by Barbieri, Alessio, Engel, Klaus-Jochen
#34G10 #46B42 (Secondary) #47D06 (Primary) 47A55 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2405.18947

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.

Related

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