2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63861In this paper we obtain local in time existence and (suitable) uniqueness and continuous dependence for the KP-I equation for small data in the intersection of the energy space and a natural weighted $L^{2}$ space.clarified version emerging from careful reading and input from refereesAnalysis of PDEs35Q53, 35Q55, 42B35text