Well-posedness of non-autonomous transport equation on metric graphs
arXiv:2206.02540 · doi:10.1007/s00233-024-10417-x
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.
11 pages + 1 page Erratum