71 citations · 163 across the 16 of their papers we have counts for
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math-ph2011
Finite propagation speed for solutions of the wave equation on metric graphs
Vadim Kostrykin, Jürgen Potthoff, Robert Schrader
We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed prop…
math.PR2011★ 3 cited
Construction of the Paths of Brownian Motions on Star Graphs
Vadim Kostrykin, Jürgen Potthoff, Robert Schrader
Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of star graphs are given.
math.PR2011★ 1 cited
A Note on Feller Semigroups and Resolvents
Vadim Kostrykin, Jürgen Potthoff, Robert Schrader
Various equivalent conditions for a semigroup or a resolvent generated by a Markov process to be of Feller type are given.