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math.AP2022★ 2 cited
Well-posedness of non-autonomous transport equation on metric graphs
Christian Budde, Marjeta Kramar Fijavž
We consider transport processes on metric graphs with time-dependent velocities and show that, under continuity assumption of the velocity coefficients, the corresponding non-auton…
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…
math.AP2019
Bi-continuous semigroups for flows on infinite networks
Christian Budde, Marjeta Kramar Fijavž
We study transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the -setting. We apply the theory of bi-…