2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133284We study the long time behavior of the subcritical (subcubic) defocussing nonlinear wave equation on the three dimensional ball, for random data of low regularity. We prove that for a large set of radial initial data in $\cap_{s<1/2} H^s(B(0,1))$ the equation is (globally in time) well posed and we construct an invariant measure.Analysis of PDEsDynamical Systems35Q55, 35BXX, 37K05, 37L50, 81Q20text