2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119289We consider the stable dependence of solutions to wave equations on metrics in C^{1,1} class. The main result states that solutions depend uniformly continuously on the metric, when the Cauchy data is given in a range of Sobolev spaces. The proof is constructive and uses the wave packet approach to hyperbolic equations.Analysis of PDEs35L05text