The generalized Korteweg-de Vries equation on the half line

被引：124
|
作者：
Colliander, JE [1 ]
Kenig, CE
机构：
[1] Univ Toronto, Toronto, ON M5S 3G3, Canada
[2] Univ Chicago, Chicago, IL 60637 USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 27卷 / 11-12期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1081/PDE-120016157
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverting a Riemann-Liouville fractional integral.
引用
收藏
页码：2187 / 2266
页数：80
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