✦ LIBER ✦

Well-posedness of the fifth order Kadomtsev–Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices

✍ Scribed by Junfeng Li; Jie Xiao

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 215 KB
Volume: 90
Category: Article
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.06.005

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✦ Synopsis

In this paper we establish the local and global well-posedness of the real valued fifth order Kadomtsev-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.