2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112864We prove global well-posedness for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers equation (KPBII) in $\mathbb R^2$ when the initial value belongs to the anisotropic Sobolev space $H^{s_1,s_2}(\mathbb R^2)$ for all $s_1>-\frac12$ and $s_2\geq0$. On the other hand, we prove in some sense that our result is sharp.31 pagesAnalysis of PDEsMathematical PhysicsPrimary 35Q53, 35A07, 35B30text