Telegraph systems on networks and port-Hamiltonians. III. Explicit representation and long-term behaviour
Analysis of PDEs
2021-11-17 v1 Dynamical Systems
Abstract
In this paper we present an explicit formula for the semigroup governing the solution to hyperbolic systems on a metric graph, satisfying general linear Kirchhoff's type boundary conditions. Further, we use this representation to establish the long term behaviour of the solutions. The crucial role is played by the spectral decomposition of the boundary matrix.
Keywords
Cite
@article{arxiv.2111.08475,
title = {Telegraph systems on networks and port-Hamiltonians. III. Explicit representation and long-term behaviour},
author = {Jacek Banasiak and Adam Błoch},
journal= {arXiv preprint arXiv:2111.08475},
year = {2021}
}