ON SOLUTIONS FOR THE KADOMTSEV-PETVIASHVILI I EQUATION

被引：7

作者：

Colliander, J. ^{[1
]}

Kenig, C. ^{[2
]}

Staffilani, G. ^{[3
,4
]}

机构：

[1] Univ Toronto, Toronto, ON M5S 1A1, Canada

[2] Univ Chicago, Chicago, IL 60637 USA

[3] Brown Univ, Providence, RI 02912 USA

[4] Stanford Univ, Stanford, CA 94305 USA

来源：

MOSCOW MATHEMATICAL JOURNAL | 2001年 / 1卷 / 04期

关键词：

Kadomtsev-Petviashvili equation; initial value problem; well-posedness; oscillatory intergals;

D O I：

10.17323/1609-4514-2001-1-4-491-520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space involving derivatives of total order no larger than 2.

引用

页码：491 / 520

页数：30

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