2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217175We generalize known results on transport equations associated to a Lipschitz field $\mathbf{F}$ on some subspace of $\mathbb{R}^N$ endowed with some general space measure $μ$. We provide a new definition of both the transport operator and the trace measures over the incoming and outgoing parts of $\partial Ω$ generalizing known results from the literature. We also prove the well-posedness of some suitable boundary-value transport problems and describe in full generality the generator of the transport semigroup with no-incoming boundary conditions.30 pagesAnalysis of PDEsMathematical Physics47D06, 47D05, 47N55, 35F05, 82C40text