2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219176We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.Latex, 19 pages, 1 figure. Discussion of class of metrics covered by our results and some examples added. Conclusion more detailed. Version to appear in Communications in Mathematical PhysicsMathematical PhysicsGeneral Relativity and Quantum CosmologyAnalysis of PDEs83C75, 46F30, 35D05, 35Q75text