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arXiv · 0712.0914

Contraction semigroups on metric graphs

Vadim Kostrykin·Jurgen Potthoff·Robert Schrader
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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.

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BibTeXRIS

Vadim Kostrykin, Jurgen Potthoff, Robert Schrader. 2008-02-26. Contraction semigroups on metric graphs. https://arxiv.org/abs/0712.0914

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