2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128108We provide $L^1$ estimates for a class of transport equations containing singular integral operators. While our main application is for a specific problem in General Relativity we believe that the phenomenon which our result illustrates is of a more general interest.Analysis of PDEsClassical Analysis and ODEsSharp $L^1$ estimates for singular transport equationstext