Authors

Jacek Banasiak, Adam Błoch

Abstract

The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff’s-type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup-theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided.

Citation

  • Journal: Evolution Equations and Control Theory
  • Year: 2022
  • Volume: 11
  • Issue: 4
  • Pages: 1331
  • Publisher: American Institute of Mathematical Sciences (AIMS)
  • DOI: 10.3934/eect.2021046

BibTeX

@article{Banasiak_2022,
  title={{Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness}},
  volume={11},
  ISSN={2163-2480},
  DOI={10.3934/eect.2021046},
  number={4},
  journal={Evolution Equations and Control Theory},
  publisher={American Institute of Mathematical Sciences (AIMS)},
  author={Banasiak, Jacek and Błoch, Adam},
  year={2022},
  pages={1331}
}

Download the bib file

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