Bi-Continuous semigroups for flows on infinite networks | Zendy

Christian Budde | Zendy; Marjeta Kramar Fijavž | Zendy

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Bi-Continuous semigroups for flows on infinite networks

Author(s) -

Christian Budde,

Marjeta Kramar Fijavž

Publication year - 2021

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2021017

Subject(s) - mathematics , boundary (topology) , operator (biology) , semigroup , matrix (chemical analysis) , metric (unit) , constant (computer programming) , hölder condition , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , computer science , biochemistry , chemistry , materials science , operations management , repressor , transcription factor , economics , composite material , gene , programming language

We study transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the \begin{document}$ {\mathrm{L}}^{\infty} $\end{document} -setting. We apply the theory of bi-continuous operator semigroups to obtain well-posedness of the problem under different assumptions on the velocities and for general stochastic matrices appearing in the boundary conditions.

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