C0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain

Birgit Jacob, Kirsten Morris, Heiko J. Zwart

    Research output: Contribution to journalArticleAcademicpeer-review

    18 Citations (Scopus)
    40 Downloads (Pure)

    Abstract

    Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of nonhomogeneous transmission lines. The main result of this paper is a simple test for $C_{0}$-semigroup generation in terms of the boundary conditions. The result is illustrated with several examples.
    Original languageUndefined
    Pages (from-to)493-502
    Number of pages10
    JournalJournal of evolution equations
    Volume15
    Issue number2
    DOIs
    Publication statusPublished - Jun 2015

    Keywords

    • EWI-26109
    • IR-96287
    • METIS-312655

    Cite this