Title:
Finite propagation speed for solutions of the wave equation on metric graphs
Author(s):
Kostrykin, Vadim; Potthoff, Jürgen; Schrader, Robert
Year of publication:
2012
Available Date:
2014-03-05T19:51:00.760Z
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.
Part of Identifier:
ISSN (print): 00221236
DDC-Classification:
530 Physik
Publication Type:
Wissenschaftlicher Artikel
Also published in:
Journal of Functional Analysis. - 263 (2012), 5, S.1198-1223
URL of the Original Publication:
DOI of the Original Publication:
Department/institution:
Physik
Institut für Theoretische Physik
