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math.AP2024
Well-posedness and long-term behaviour of buffered flows in infinite networks
Alexander Dobrick, Florian G. Martin
We consider a transport problem on an infinite metric graph and discuss its well-posedness and long-term behaviour under the condition that the mass flow is buffered in at least on…
math.AP2022
Convergence to equilibrium for linear parabolic systems coupled by matrix-valued potentials
Alexander Dobrick, Jochen Glück
We consider systems of parabolic linear equations, subject to Neumann boundary conditions on bounded domains in , that are coupled by a matrix-valued potential , a…
math.AP2020
Uniform convergence of operator semigroups without time regularity
Alexander Dobrick, Jochen Glück
When we are interested in the long-term behaviour of solutions to linear evolution equations, a large variety of techniques from the theory of -semigroups is at our disposal.…