Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (4): 404-412.

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GLOBAL ATTRACTOR OF A CLASS OF STRONGLY DAMPED NONLINEAR WAVE EQUATIONS

Dai Zhengde1, Guo Boling2, Chen Fengxin1   

  1. 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

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(AV is obtained.

Key words: Nonlinear wave equation, Global attractor

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