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
收藏
页码：2083 / 2090
页数：8
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