2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142262We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set. We obtain a polynomial rate of local energy decay with exponent depending only on the dimension.11 pagesAnalysis of PDEs58J45text