Well-posedness and global existence for the Novikov equation

被引：1

作者：

Wu, Xinglong ^{[1
]}

Yin, Zhaoyang ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2012年 / 11卷 / 03期

关键词：

INTEGRABLE EQUATION; SHOCK-WAVES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we mainly study the Cauchy problem of the Novikov equation. We first establish the local well-posedness and give the precise blow-up scenario for the equation. Then we show that the equation has smooth solutions which exist globally in time. Finally we prove that peakon solutions to the equation are global weak solutions.

引用

页码：707 / 727

页数：21

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