文献类型：期刊文献

英文题名：Global existence and asymptotic behavior of solution for the Rosenau equation with hydrodynamical damped term

作者：Wang, Hongwei[1,2];Wang, Shubin[3]

第一作者：Wang, Hongwei;王宏伟

通讯作者：Wang, SB[1]

机构：[1]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China;[2]Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China;[3]Zhenzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

第一机构：Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

通讯机构：[1]corresponding author), Zhenzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China.

年份：2013

卷号：401

期号：2

起止页码：763-773

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-84873566982);WOS:【SCI-EXPANDED(收录号:WOS:000315425900029)】；

基金：This project is supported by the National Natural Science Foundation of China (Grant No.11171311).

语种：英文

外文关键词：Rosenau equation; Hydrodynamical damped term; Global existence; Asymptotic behavior

摘要：We consider the Cauchy problem for Rosenau equation with hydrodynamical damped term in n-dimensional space. Under smallness condition on the initial data, we prove the global existence and asymptotic behavior of the solution in the time-weighted Sobolev spaces by the contraction mapping principle. (c) 2013 Elsevier Inc. All rights reserved.