2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75283We prove that the Benjamin-Ono equation is well-posed in $ H^{1/2}(\T) $. This leads to a global well-posedness result in $ H^{1/2}(\T) $ thanks to the energy conservation.30 pagesAnalysis of PDEs35A05; 35Q53text