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  • Flows on metric graphs with general boundary conditions
    Engel, Klaus, 1969- ; Kramar Fijavž, Marjeta
    In this note we study the generation of C_0-semigroups by first-order differential operators on Lp(R_+,C^l) x Lp([0,1],C^m) with general boundary conditions. In many cases we are able to characterize ... the generation property in terms of the invertibility of a matrix associated to the boundary conditions. The abstract results are used to study the well-posedness of transport equations on non-compact metric graphs.
    Source: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 513, art. 126214, no. 2, 2022, [27] str.)
    Type of material - article, component part ; adult, serious
    Publish date - 2022
    Language - english
    COBISS.SI-ID - 105351427