Decay and scattering of small solutions for Rosenau equations

被引：12

作者：

Wang, Hongwei ^{[1
,2
]}

Wang, Shubin ^{[3
]}

机构：

[1] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China

[2] XinXiang Coll, Dept Math, Xinxiang 453000, Peoples R China

[3] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Rosenau equation; Decay; Scattering; Small solution; BLOW-UP; INSTABILITY; EXISTENCE;

D O I：

10.1016/j.amc.2011.05.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the long-time behavior of small solutions of the Cauchy problem for a Rosenau equation. For a class of nonlinearity of the perturbation, the global small solution was obtained, and the decay and scattering for small amplitude solution are established. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：115 / 123

页数：9

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