2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170107We prove Strichartz estimates on general flat d-torus for arbitrary d. Using these estimates, we prove local wellposedness for the cubic nonlinear Schrödinger equations in appropriate Sobolev spaces. In dimensions 2 and 3, we prove polynomial bounds on the possible growth of Sobolev norms of smooth solutions.Analysis of PDEsClassical Analysis and ODEs35xx, 42xxtext