In this note we extend perturbation results for positive C_0 -semigroups on AM- and AL-spaces generalizing them to arbitrary Banach lattices in case the perturbation can be factorized appropriately. The abstract results are applied to domain perturbations of generators, a heat equation with boundary feedback and perturbations of the first derivative.
Perturbations of positive semigroups Factorized via AM– and AL-spaces
Alessio Barbieri;Klaus- Jochen Engel
2025-01-01
Abstract
In this note we extend perturbation results for positive C_0 -semigroups on AM- and AL-spaces generalizing them to arbitrary Banach lattices in case the perturbation can be factorized appropriately. The abstract results are applied to domain perturbations of generators, a heat equation with boundary feedback and perturbations of the first derivative.File in questo prodotto:
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