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

• 论文 • 上一篇    下一篇

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

赖绍永1, 胡青龙2   

  1. 1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;
    2. Department of Technology, Xichang Teacher’s College, Xichang, Sichuan 630025, China
  • 收稿日期:2000-02-28 修回日期:2002-08-23 出版日期:2003-01-18 发布日期:2003-01-18
  • 基金资助:

    Sichuan Youth Foundation(1999-09)

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)

摘要: 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.

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.

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