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

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In 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.
17pages

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Analysis of PDEs, 35Q53, 35G25

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http://salesiana.dossiersoluciones.com/handle/123456789/145908

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2129
 http://arxiv.org/abs/0801.2129

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arXiv