2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129478We consider the cubic Nonlinear Schrodinger Equation in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time H^s bounds in terms of the H^s size of the initial data for s greater than or equal to -1/6.27 pages very minor misprints corrected (see formulas (4), (7))Analysis of PDEs35Q55text