2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154654We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schrödinger evolutions. As a consequence we obtain some uniqueness results that generalize (a weak form of) Hardy's version of the uncertainty principle. We also obtain corresponding results for heat evolutions.Analysis of PDEs35Q55; 35K10text