2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164261We prove low frequency estimates for the boundary values of the resolvent of long range perturbations of the flat Laplacian in divergence form.19 pages. Revised version. Assumption on the local compactness of the Riesz transform removedAnalysis of PDEsSpectral TheoryLow frequency estimates for long range perturbations in divergence formtext