Finite propagation speed for solutions of the wave equation on metric graphs

DOI10.1016/j.jfa.2012.06.005zbMath1246.35197arXiv1106.0817OpenAlexW2963747610MaRDI QIDQ447901

Vadim Kostrykin, Robert Schrader, Juergen Potthoff

Publication date: 30 August 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0817

zbMATH Keywords

wave equationmetric graphsfinite propagation speedLaplace operators

Mathematics Subject Classification ID

Wave equation (35L05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions ⋮ Hidden symmetries in non-self-adjoint graphs

Cites Work

• Quantum field theory techniques in graphical enumeration
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Partial differential equations. 3: Nonlinear equations
• Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
• On the diffraction of waves by conical singularities. I
• Quantum Field Theory in Terms of Vacuum Expectation Values
• Contraction semigroups on metric graphs
• Finite propagation speed and causal free quantum fields on networks
• Kirchhoff's rule for quantum wires
• Stability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity
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