Bi-continuous semigroups for flows on infinite networks

2019/01/29 by Budde, Christian, Fijavž, Marjeta Kramar
#35F46 #35R02 #46A70 #47D06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1901.10292

Abstract

We study transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the \L^∞-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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