Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices

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dc.creatorLi, Junfeng
dc.creatorXiao, Jie
dc.date2008-01-14
dc.date.accessioned2026-07-07T08:54:22Z
dc.date.available2026-07-07T08:54:22Z
dc.descriptionIn 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.
dc.description17pages
dc.identifierhttps://arxiv.org/abs/0801.2129
dc.identifierhttp://arxiv.org/abs/0801.2129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145908
dc.subjectAnalysis of PDEs
dc.subject35Q53, 35G25
dc.titleWell-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices
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