Global well-posedness and scattering for small data for the three-dimensional Kadomtsev-Petviashvili II equation

被引：5

作者：

Koch, Herbert ^{[1
]}

Li, Junfeng ^{[2
]}

机构：

[1] Unversitat Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 42卷 / 06期

关键词：

Bilinear estimate; Galilean transform; Kadomtsev-Petviashvili II; nonlinear waves; 35Q53; 37K40; CAUCHY-PROBLEM;

D O I：

10.1080/03605302.2017.1320410

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 as t ->+/-infinity.

引用

页码：950 / 976

页数：27

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