2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145908In this paper we establish the local and global well-posedness of the real valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative indices. In particular, our local well-posedness improves Saut-Tzvetkov's one and our global well-posedness gives an affirmative answer to Saut-Tzvetkov's $L^2$-data conjecture.17pagesAnalysis of PDEs35Q53, 35G25text