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arXiv · 2206.02540

Well-posedness of non-autonomous transport equation on metric graphs

Christian Budde·Marjeta Kramar Fijavž
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Abstract

We consider transport processes on metric graphs with time-dependent velocities and show that, under continuity assumption of the velocity coefficients, the corresponding non-autonomous abstract Cauchy problem is well-posed by means of evolution families and evolution semigroups.

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Christian Budde, Marjeta Kramar Fijavž. 2022-06-06. Well-posedness of non-autonomous transport equation on metric graphs. https://doi.org/10.1007/s00233-024-10417-x

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