2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68844We prove an optimal dispersive $L^{\infty}$ decay estimate for a three dimensional wave equation perturbed with a large non smooth potential belonging to a particular Kato class. The proof is based on a spectral representation of the solution and suitable resolvent estimates for the perturbed operator.Major revision, corrected & augmented - 32 pagesAnalysis of PDEsFunctional Analysis35L70; 58J45; 58J50text