On the cauchy problem for an integrable equation with peakon solutions

被引：229
|
作者：
Yin, ZY [1 ]
机构：
[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2003年 / 47卷 / 03期
关键词：
D O I：
10.1215/ijm/1258138186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the local well-posedness for a new integrable equation. We prove that the equation has strong solutions that blow up in finite time and obtain the precise blow-up scenario for this equation. Moreover, we provide a framework of weak solutions for the study of soliton interaction.
引用
收藏
页码：649 / 666
页数：18
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