2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212667We investigate the spectral properties of a class of weighted shift semigroups associated to abstract transport equations with a Lipschitz--continuous vector field with no--reentry boundary conditions. We illustrate our results with various examples taken from collisionless kinetic theory.Analysis of PDEsFunctional AnalysisSpectral TheorySpectral properties of general advection operators and weighted translation semigroupstext