Contraction semigroups on metric graphs

Details Contraction semigroups on metric graphs Contraction semigroups on metric graphs

2007-12-06

arxiv.org/abs/0712.0914v2

Mathematics

Functional Analysis

Scientific paper

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.

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