2 papers
math.FA2007
Contraction semigroups on metric graphs
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader
The main objective of the present work is to study contraction semigroups generated by Laplace operators on metric graphs, which are not necessarily self-adjoint. We prove criteria…
math-ph2007
Heat kernels on metric graphs and a trace formula
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader
We study heat semigroups generated by self-adjoint Laplace operators on metric graphs characterized by the property that the local scattering matrices associated with each vertex o…