2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63621We prove an "almost conservation law" to obtain global-in-time well-posedness for the cubic, defocussing nonlinear Schrödinger equation in H^s(R^n) when n = 2, 3 and s > 4/7, 5/6, respectively.21 pagesAnalysis of PDEs35Q55,35A05Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equationtext