2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15728We prove that a Hamilton-Jacobi equation in 1D with periodic forcing has a set of generalized solutions such that each solution is a sum of linear and continuous periodic functions; we also give a condition of uniqueness of this solution in terms of Aubry-Mather theory.12 pages, no figures; several typos corrected and the reference includedChaotic DynamicsDynamical Systemstext