2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62719For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation of singularities through the boundary is analyzed. Under appropriate regularity assumptions the diffracted, non-direct, wave produced by the boundary is shown to have Sobolev regularity greater than the incoming wave.Analysis of PDEsMathematical PhysicsClassical Analysis and ODEs35L05, 58J47 (Primary) 58J40 (Secondary)text