Finite propagation speed for solutions of the wave equation on metric graphs
Mathematical Physics
2011-06-07 v1 math.MP
Abstract
We provide a class of self-adjoint Laplace operators 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 adaptions of corresponding methods for smooth manifolds.
Keywords
Cite
@article{arxiv.1106.0817,
title = {Finite propagation speed for solutions of the wave equation on metric graphs},
author = {Vadim Kostrykin and Jürgen Potthoff and Robert Schrader},
journal= {arXiv preprint arXiv:1106.0817},
year = {2011}
}
Comments
24 pages, 1 figure