Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem
Koch, Herbert1
1 Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn Germany
Journées équations aux dérivées partielles (2015), article no. 4, 9 p.

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→±∞.

DOI : 10.5802/jedp.633
Mots clés : Kadomtsev-Petviashvili, Galilean transform, Bilinear estimate
Koch, Herbert 1

1 Mathematisches Institut Universität Bonn Endenicher Allee 60 53115 Bonn Germany 
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Koch, Herbert. Global well-posedness and scattering for small data for the 2D and 3D KP-II Cauchy problem. Journées équations aux dérivées partielles (2015), article  no. 4, 9 p. doi : 10.5802/jedp.633. http://www.numdam.org/articles/10.5802/jedp.633/

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