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arXiv · 1901.10292

Bi-continuous semigroups for flows on infinite networks

Christian Budde·Marjeta Kramar Fijavž
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Abstract

We study transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the $\\mathrm{L}^{\infty}$-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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Christian Budde, Marjeta Kramar Fijavž. 2019-01-29. Bi-continuous semigroups for flows on infinite networks. https://arxiv.org/abs/1901.10292

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