On Structured Perturbations of Positive Semigroups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909212727050240 |
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| author | Barbieri, Alessio Engel, Klaus-Jochen |
| author_facet | Barbieri, Alessio Engel, Klaus-Jochen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18947 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Structured Perturbations of Positive Semigroups Barbieri, Alessio Engel, Klaus-Jochen Functional Analysis Analysis of PDEs 47D06 (Primary) 47A55, 34G10, 46B42 (Secondary) 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. |
| title | On Structured Perturbations of Positive Semigroups |
| topic | Functional Analysis Analysis of PDEs 47D06 (Primary) 47A55, 34G10, 46B42 (Secondary) |
| url | https://arxiv.org/abs/2405.18947 |