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math.FA2021
Non-autonomous Desch-Schappacher perturbations
Christian Budde, Christian Seifert
We consider time-dependent Desch-Schappacher perturbations of non-autonomous abstract Cauchy problems and apply our result to non-autonomous uniformly strongly elliptic differentia…
math.AP2021
Semigroups for flows on limits of graphs
Christian Budde
We use a version of the Trotter-Kato approximation theorem for strongly continuous semigroups in order to study flows on growing networks. For that reason we use the abstract notio…