Finite propagation speed for solutions of the wave equation on metric graphs |
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| Authors: | Vadim Kostrykin Jürgen Potthoff Robert Schrader |
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| Affiliation: | 1. Institut für Mathematik, Johannes Gutenberg-Universität, D-55099 Mainz, Germany;2. Institut für Mathematik, Universität Mannheim, D-68131 Mannheim, Germany;3. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany |
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| Abstract: | We provide a class of self-adjoint Laplace operators ?Δ on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The proof uses energy methods, which are adaptations of corresponding methods for smooth manifolds. |
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