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1. On Structured Perturbations of Positive Semigroups

Author

Barbieri, Alessio and Engel, Klaus-Jochen

Subjects
Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 47D06 (Primary) 47A55, 34G10, 46B42 (Secondary)
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., Comment: 37 pages

Published
2024

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