一个四阶方程组在全直线上的整体吸引子

数学季刊 ›› 2006, Vol. 21 ›› Issue (2): 229-235.

一个四阶方程组在全直线上的整体吸引子

College of Mathematics and Information Science, Wenzhou Normal College, Wenzhou 325027, China; Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China

收稿日期:2003-06-01 出版日期:2006-06-30 发布日期:2023-12-06
作者简介:ZHAO Cai-di(1977-),male,native of Yangxin,Hubei,a lecturer of Wenzhou Normal College, engages in partial differential equation;LI Yong-sheng(1965-),male,native of Nanzhang,Hubei,a professor of South China University of Technology,engages in partial differential equation.
基金资助:
Supported by the Natural Science Foundation of China(10001013)； Supported by the NSF Zhejiang Province(M103043)； Supported by NSF of Wenzhou Normal College NSF(2003Y16)；

Attractor for a Fourth-order Equation in the Whole Line

College of Mathematics and Information Science, Wenzhou Normal College, Wenzhou 325027, China; Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China

Received:2003-06-01 Online:2006-06-30 Published:2023-12-06
About author:ZHAO Cai-di(1977-),male,native of Yangxin,Hubei,a lecturer of Wenzhou Normal College, engages in partial differential equation;LI Yong-sheng(1965-),male,native of Nanzhang,Hubei,a professor of South China University of Technology,engages in partial differential equation.
Supported by:
Supported by the Natural Science Foundation of China(10001013)； Supported by the NSF Zhejiang Province(M103043)； Supported by NSF of Wenzhou Normal College NSF(2003Y16)；

摘要/Abstract

摘要： This paper studies the long time behavior of the following Cauchy problem The authors prove the existence of global attractor by showing the corresponding operator semigroup is asymptotically compact.

关键词: global , attractor;fourth-order , equations;whole , line

Abstract:

This paper studies the long time behavior of the following Cauchy problem The authors prove the existence of global attractor by showing the corresponding operator semigroup is asymptotically compact.

Key words: global , attractor;fourth-order , equations;whole , line

中图分类号:

O175.2

赵才地, 李用声. 一个四阶方程组在全直线上的整体吸引子[J]. 数学季刊, 2006, 21(2): 229-235.

ZHAO Cai-di, LI Yong-sheng. Attractor for a Fourth-order Equation in the Whole Line[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 229-235.

[1]	王慧满, 申培萍, 梁雨欣. 全局求解Minimax线性分式规划的分支定界算法[J]. 数学季刊, 2024, 39(4): 388-398.
[2]	江东月, 唐忠华, 房少梅. 具有奇异势和一般非线性的伪抛物方程解的局部存在性和爆破[J]. 数学季刊, 2024, 39(2): 111-127.
[3]	潘嘉慧, 房少梅. 具有对数非线性项的伪抛物型 p-Laplacian 型方程的初边值问题[J]. 数学季刊, 2023, 38(4): 360-369.
[4]	曾敏, 袁永新. 一个2×2块矩阵的Moore-Penrose逆的显式公式[J]. 数学季刊, 2023, 38(4): 401-409.
[5]	许娜. 一类次线性基尔霍夫方程基态解的存在性[J]. 数学季刊, 2023, 38(4): 410-414.
[6]	王珂, 潘盼盼. 一个一维二阶拟线性双曲组的精确边界能控性[J]. 数学季刊, 2023, 38(4): 424-440.
[7]	马腾. 变指标中心Morrey空间上带Dini核的多线性C-Z算子[J]. 数学季刊, 2023, 38(2): 184-195.
[8]	付乳燕, 林琳. 带有单个服务器的多台平行批处理机在线排序问题[J]. 数学季刊, 2022, 37(4): 403-411.
[9]	彭姗姗, 陈纪莉. 多线性交换子在变指数Herz空间上的有界性[J]. 数学季刊, 2022, 37(2): 203-213.
[10]	李娜, 房少梅. 具有一般非线性项的半线性抛物方程解的有限时间爆破和爆破时间上界 [J]. 数学季刊, 2022, 37(1): 103-110.
[11]	陈叔瑾. 在 Stein 流形中有界域的解析簇上积分表示及其应用[J]. 数学季刊, 2021, 36(4): 331-355.
[12]	欧阳柏平, 肖胜中. 一类具有导数型非线性记忆项的半线性波动方程的爆破结果[J]. 数学季刊, 2021, 36(3): 235-243.
[13]	欧阳柏平, 林奕武. 具有导数型非线性项的半线性双波动方程解的全局非存在性[J]. 数学季刊, 2021, 36(2): 149-159.
[14]	张宏伟, 李栋浩, 呼青英. 具非局部非线性阻尼和源项的波方程解的能量衰减估计[J]. 数学季刊, 2020, 35(3): 302-310.
[15]	黄登香, 李春红 , 覃朝勇 , 卢春婷. Elastic Net方法在部分线性模型的应用[J]. 数学季刊, 2020, 35(3): 290-301.