Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem

Herbert Koch

Type: Article

Publication Date: 2016-01-28

Citations: 0

DOI: https://doi.org/10.5802/jedp.633

Abstract

We discuss global well-posedness for the Kadomtsev-Petviashvili II in two and three space dimensions with small 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 as t→±∞.

Locations

Journées Équations aux dérivées partielles - View - PDF
French digital mathematics library (Numdam) - View - PDF

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+	On the Cauchy problem for the Kadomstev-Petviashvili equation	1993	Jean Bourgain
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