Isaza J., PedroMejia L., Jorge2020-11-252020-11-252003-06-13Isaza J., P., & Mejia L., J. (2003). Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices. <i>Electronic Journal of Differential Equations, 2003</i>(68), pp. 1-12.1072-6691https://hdl.handle.net/10877/13008It is proved that the Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) is globally well-posed for initial data in anisotropic Sobolev spaces Hs0 (ℝ2) with s > -1/14. The extension of a local solution to a solution in an arbitrary interval is carried out by means of an almost conservation property of the Hs0 norm of the solution.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear dispersive equationsGlobal solutionsAlmost conservation lawsArticle