2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116374We prove a family of identities that involve the solutions to the free Schreodinger equation. As a consequence of these identities we shall deduce a lower bound for the local smoothing estimate and a uniqueness criterion.Analysis of PDEsOn the Local Smoothing for the Schroedinger Equationtext