2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163166We investigate the initial value problem for a defocusing nonlinear Schrödingerequation with exponential nonlinearity. We identify subcritical, critical and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.27 pages, submittedAnalysis of PDEs35-xx, 35Q55, 35B60, 35B33, 37K07text