2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62087The Fourier restriction norm method is used to show local wellposedness for the Cauchy Problem for the generalized KdV-equation of order three with data in the usual Sobolev space H^s, s > -1/6. For real valued data in L^2 global wellposedness follows by the conservation of the L^2-norm. The main new tool is a bilinear estimate for solutions of the Airy- equation.A misprint in the online abstract was correctedAnalysis of PDEstext