2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59116The Cauchy problem for the 1-dimensional Zakharov system is shown to be globally well-posed for large data which not necessarily have finite energy. The proof combines the local well-posedness result of Ginibre, Tsutsumi, Velo and a general method introduced by Bourgain to prove a similar result for nonlinear Schrödinger equations.Analysis of PDEs35Q55Global well-posedness below energy space for the 1D Zakharov systemtext