GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (4): 404-412.

GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

戴正德¹, 郭柏灵², 陈凤新¹

1. Department of Mathematics, Yunnan University, Kunming 650091, China;
2. P. O. Box 8009, Beijing 100088, China

收稿日期:1996-12-16 修回日期:1997-06-19 出版日期:1998-12-25 发布日期:1998-12-25
基金资助:
Project Supported by Applied Basic Research Foundation of Yunnan Province

GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

Dai Zhengde¹, Guo Boling², Chen Fengxin¹

1. Department of Mathematics, Yunnan University, Kunming 650091, China;
2. P. O. Box 8009, Beijing 100088, China

Received:1996-12-16 Revised:1997-06-19 Online:1998-12-25 Published:1998-12-25
Supported by:
Project Supported by Applied Basic Research Foundation of Yunnan Province

摘要/Abstract

摘要： A class of strongly damped nonlinear wave equations are studied by using the technique of the operator decomposition,and the existence of the global compact attractor in space D(A)×V is obtained.

关键词: Nonlinear wave equation, Global attractor

Abstract: A class of strongly damped nonlinear wave equations are studied by using the technique of the operator decomposition,and the existence of the global compact attractor in space D(A)×V is obtained.

Key words: Nonlinear wave equation, Global attractor

戴正德, 郭柏灵, 陈凤新. GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS[J]. 数学物理学报(英文版), 1998, 18(4): 404-412.

Dai Zhengde, Guo Boling, Chen Fengxin. GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS[J]. Acta mathematica scientia,Series B, 1998, 18(4): 404-412.

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GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

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