2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134635The I-method in its first version as developed by Colliander et al. is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-3) is globally well-posed for large real-valued data in the Sobolev space H^s, provided s>-1/42.6 pagesAnalysis of PDEs35Q53A remark on global well-posedness below L^2 for the gKdV-3 equationtext