On Structured Perturbations of Positive Semigroups
Functional Analysis
2024-05-30 v1 Analysis of PDEs
Abstract
In this note we generalize perturbation results for positive -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.
Keywords
Cite
@article{arxiv.2405.18947,
title = {On Structured Perturbations of Positive Semigroups},
author = {Alessio Barbieri and Klaus-Jochen Engel},
journal= {arXiv preprint arXiv:2405.18947},
year = {2024}
}
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37 pages