2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99698The semilinear wave equation on the (outer) Schwarzschild manifold is studied. We prove local decay estimates for general (non-radial) data, deriving a-priori Morawetz type estimates.AMS-LaTeX, 16 pages. There is an errata to this paper at gr-qc/0608073General Relativity and Quantum Cosmologytext