Contraction semigroups on metric graphs
Functional Analysis
2008-02-27 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0712.0914,
title = {Contraction semigroups on metric graphs},
author = {Vadim Kostrykin and Jurgen Potthoff and Robert Schrader},
journal= {arXiv preprint arXiv:0712.0914},
year = {2008}
}