2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76309We consider the Cauchy problem for the weakly dissipative wave equation $$ \square u+\fracμ{1+t} u_t=0 $$ with parameter $μ\ge2$. Based on the explicit representations of solutions provided in [Math. Meth. Appl. Sci. 2004; {\bf 27}:101-124] sharp decay estimates for data from a dense subspace of the energy space are derived. Furthermore, sharpness is discussed in terms of a modified scattering theory.7 pagesAnalysis of PDEsClassical Analysis and ODEs35L50; 35L15; 35B45text