18 citations · 43 across the 9 of their papers we have counts for
12 papers
Perturbations of non-autonomous second-order abstract Cauchy problems
Christian Budde, Christian Seifert
In this paper we present time-dependent perturbations of second-order non-autonomous abstract Cauchy problems associated to a family of operators with constant domain. We make use…
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…
A monotone convergence theorem for strong Feller semigroups
Christian Budde, Alexander Dobrick, Jochen Glück +1
For an increasing sequence of one-parameter semigroups of sub Markovian kernel operators over a Polish space, we study the limit semigroup and prove sufficient conditions f…
A Lumer-Phillips type generation theorem for bi-continuous semigroups
Christian Budde, Sven-Ake Wegner
The famous 1960s Lumer-Phillips Theorem states that a closed and densely defined operator on a Banach space generates a strongly continuo…
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…
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…
Positive Desch-Schappacher perturbations of bi-continuous semigroups on -spaces
Christian Budde
In this paper, we consider positive Desch-Schappacher perturbations of bi-continuous semigroups on -spaces with an additional property concerning the additional locall…
Extrapolation of operator-valued multiplication operators
Christian Budde, Retha Heymann
We discuss fiber spaces which appear, e.g., as extrapolation spaces of unbounded multiplication operators which in turn are motivated, for instance, by non-autonomou…
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-…
A Desch-Schappacher perturbation theorem for bi-continuous semigroups
Christian Budde, Bálint Farkas
We prove a Desch-Schappacher type perturbation theorem for one-parameter semigroups on Banach spaces which are not strongly continuous for the norm, but possess a weaker continuity…
Intermediate and extrapolated spaces for bi-continuous semigroups
Christian Budde, Bálint Farkas
We discuss the construction of the full Sobolev (Hölder) scale for non-densely defined operators on a Banach space with rays of minimal growth. In particular, we give a constructio…
A bounded transform approach to self-adjoint operators: Functional calculus and affiliated von Neumann algebras
Christian Budde, Klaas Landsman
Spectral theory and functional calculus for unbounded self-adjoint operators on a Hilbert space are usually treated through von Neumann's Cayley transform. Based on ideas of Worono…