2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119221In this paper we prove the smoothing effect for solutions of Schr{ö}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials at infinity.Analysis of PDEs35Q55; 35B65; 35Q40; 35G15The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domainstext