The Asymptotic Theory of Initial Value Problems for Semilinear Perturbed Wave Equations in Two Space Dimensions

LAI Shao-yong; FU Qing-long

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LAI Shao-yong, FU Qing-long. The Asymptotic Theory of Initial Value Problems for Semilinear Perturbed Wave Equations in Two Space Dimensions[J]. Applied Mathematics and Mechanics, 2003, 24(1): 74-82.

Citation:

LAI Shao-yong, FU Qing-long. The Asymptotic Theory of Initial Value Problems for Semilinear Perturbed Wave Equations in Two Space Dimensions[J]. Applied Mathematics and Mechanics, 2003, 24(1): 74-82.

Citation:

LAI Shao-yong, FU Qing-long. The Asymptotic Theory of Initial Value Problems for Semilinear Perturbed Wave Equations in Two Space Dimensions[J]. Applied Mathematics and Mechanics, 2003, 24(1): 74-82.

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The Asymptotic Theory of Initial Value Problems for Semilinear Perturbed Wave Equations in Two Space Dimensions

LAI Shao-yong¹,
FU Qing-long²

1.
Department of Mathematics, Sichuan Normal University, Chengdu 610066, China;
2.
Department of Technology, Xichang Teacher's College, Xichang, Sichuan 630025, China

Received Date: 2000-02-28
Rev Recd Date: 2002-08-23
Publish Date: 2003-01-15

Abstract

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 spacial wave equation in two space dimensions.
- semilinear wave equation,
- asymptotics,
- long time scale,
- application

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References(8)

References

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