%0 Journal Article
%T Contraction semigroups on metric graphs
%A Vadim Kostrykin
%A Jurgen Potthoff
%A Robert Schrader
%J Mathematics
%D 2007
%I arXiv
%X 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 for such semigroups to be continuity and positivity preserving. Also we provide a characterization of generators of Feller semigroups on metric graphs.
%U http://arxiv.org/abs/0712.0914v2