The local well-posedness and stability to a nonlinear generalized Degasperis-Procesi equation

被引：1

作者：

Chen, Jing ^{[1
]}

Li, Rui ^{[2
]}

机构：

[1] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621000, Peoples R China

[2] Peking Univ, Sch Econ, Beijing 100871, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

基金：

中国国家自然科学基金;

关键词：

nonlinear equation; Sobolev space H-s(R); L-1(R) stability; PERIODIC-SOLUTIONS; GLOBAL-SOLUTIONS;

D O I：

10.1186/s13661-015-0433-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear generalized Degasperis-Procesi equation is investigated. The local well-posedness of a strong solution for the equation in the Sobolev space with is established. The stability is obtained under certain assumptions on the initial data.

引用

页数：13

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