Tzvetkov, N. Long time bounds for the periodic KP-II equation. (English) Zbl 1073.35195 Int. Math. Res. Not. 2004, No. 46, 2485-2496 (2004). It is shown that Bourgain’s result concerning the existence of a unique global-in-time solution of the KP-II equation may be generalized for a time of \(\varepsilon^{-2}\) order. Reviewer: Igor Andrianov (Köln) Cited in 8 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Keywords:Kadomtsev-Petviashvili-II equation; global existence PDFBibTeX XMLCite \textit{N. Tzvetkov}, Int. Math. Res. Not. 2004, No. 46, 2485--2496 (2004; Zbl 1073.35195) Full Text: DOI