Existence of strong solutions and global attractors for the coupled suspension bridge equations

被引：59
|
作者：
Ma, Qiaozhen [1 ,2 ]
Zhong, Chengkui [2 ]
机构：
[1] NW Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Gansu, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 10期
关键词：
Coupled suspension bridge equations; Norm-to-weak continuous semigroup; Strong solutions; Global attractors;
D O I：
10.1016/j.jde.2009.02.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show the existence of the strong solutions for the coupled suspension bridge equations. Furthermore, existence of the strong global attractors is investigated using a new semigroup scheme. Since the Solutions of the coupled equation have no higher regularity and the semigroup associated with the solutions is not continuous in the strong Hilbert space, the results are new and appear to be optimal. (C) 2009 Published by Elsevier Inc.
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页码：3755 / 3775
页数：21
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