The initial value problem for a third order dispersive equation on the two-dimensional torus

被引：1

作者：

Chihara, H ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-05-07783-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the necessary and sufficient conditions for the L-2-well-posedness of the initial problem for a third order linear dispersive equation on the two-dimensional torus. Birkhoff's method of asymptotic solutions is used to prove necessity. Some properties of a system for quadratic algebraic equations associated to the principal symbol play a crucial role in proving sufficiency.

引用

页码：2083 / 2090

页数：8

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