Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem

Herbert Koch; Junfeng Li

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arXiv · 1608.06730

Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem

Herbert Koch·Junfeng Li

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Abstract

We study global well-posedness for the Kadomtsev-Petviashvili II equation in three space dimensions with small initial data. The crucial points are new bilinear estimates and the definition of the function spaces. As by-product we obtain that all solutions to small initial data scatter.

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Herbert Koch, Junfeng Li. 2016-08-24. Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem. https://arxiv.org/abs/1608.06730

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