2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217205This note is focused on a novel technique in order to establish the boundedness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application of the abstract result, the semigroup generated by the strongly damped wave equation $$u_{tt}-Δu_t-Δu+ϕ(u)=f$$ with critical nonlinearity is considered, whose attractor is shown to possess the optimal regularity.11 pagesDynamical Systems34D45, 35B33, 35L05, 35M10, 47H20text