Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks
Analysis of PDEs
2020-07-17 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in \cite{KraMugNic20} by discussing well-posedness under rather general transmission conditions that might be either of stationary or dynamic type - or a combination of both. Our results rely upon semigroup theory and elementary linear algebra. We also discuss qualitative properties of solutions.
Cite
@article{arxiv.2007.08298,
title = {Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks},
author = {Marjeta Kramar Fijavž and Delio Mugnolo and Serge Nicaise},
journal= {arXiv preprint arXiv:2007.08298},
year = {2020}
}