2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115593We show that the time evolution of the operator $H = -Δ+ i(A \cdot \nabla + \nabla \cdot A) + V$ in R^3 satisfies Strichartz and smoothing estimates under suitable smoothness and decay assumptions on A and V but without any smallness assumptions. We require that zero energy is neither an eigenvalue nor a resonance.27 pages. Revised to add a reference to previously known resultsAnalysis of PDEs35Q40; 42B15; 35P25text