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(A)×V is obtained.

Key words: Nonlinear wave equation, Global attractor

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