2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107228The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. We derive an integral spectral representation for the solution and prove pointwise decay in time.33 pagesGeneral Relativity and Quantum CosmologyMathematical PhysicsThe Cauchy Problem for the Wave Equation in the Schwarzschild Geometrytext