Well-posedness of non-autonomous transport equation on metric graphs
Analysis of PDEs
2025-11-11 v4
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.
Keywords
Cite
@article{arxiv.2206.02540,
title = {Well-posedness of non-autonomous transport equation on metric graphs},
author = {Christian Budde and Marjeta Kramar Fijavž},
journal= {arXiv preprint arXiv:2206.02540},
year = {2025}
}
Comments
11 pages + 1 page Erratum