Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (1): 82-91.

• Articles • Previous Articles     Next Articles

THE ASYMPTOTIC THEORY OF INITIAL VALUE PROBLEMS FOR SEMILINEAR PERTURBED WAVE EQUATIONS IN TWO SPACE DIMENSIONS

LAI Shao-yong1, FU Qing-long2   

  1. 1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;
    2. Department of Technology, Xichang Teacher’s College, Xichang, Sichuan 630025, China
  • Received:2000-02-28 Revised:2002-08-23 Online:2003-01-18 Published:2003-01-18
  • Supported by:

    Sichuan Youth Foundation(1999-09)

Abstract: The asymptotic theory of initial value problems for semilinear wave equations in two space dimensions was dealt with.The well-posedness and vaildity of formal approximations on a long time scale were discussed in the twice continuous classical space. These results describe the behavior of long time existence for the validity of formal approximations. And an application of the asymptotic theory is given to analyze a special wave equation in two space dimensions.

2010 MSC Number: 

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