| THE ASYMPTOTIC THEORY OF INITIAL VALUEPROBLEMS FOR SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS |
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| 作者姓名： | LAISHAOYONG MuCHUNLAI |
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| 作者单位： | [1]DepartmentofMathematics.SichuanNormalUniversity,Chengdu610068 [2]InstituteofMathematics.SichuanUniversityChengdu,610068 |
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| 摘 要： | This paper deals with the asymptotic theory of initial value problems for semilinear waveequations in three space dimensions. The well-posedness and validity of formal approximations ona long time scale of order |ε|^-1 are discussed in the classical sense of C^2 This result describes aceu-ratively the approximations of solutions. At the end of this paper an application of the asymptotictheory is given to analyze a special model for a perturbed wave equation,
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| 关 键 词： | 渐进理论 初值问题 拟线性波方程 三维空间 |
| 收稿时间： | 11 March 1996 |
The asymptotic theory of initial value problems for semilinear wave equations in three space dimensions |
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| LAISHAOYONG MuCHUNLAI.THE ASYMPTOTIC THEORY OF INITIAL VALUEPROBLEMS FOR SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS[J].Applied Mathematics A Journal of Chinese Universities,1997,12(3):321-332. |
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| Authors: | Lai Shaoyong Mu Chunlai |
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| Institution: | (1) Department of Mathematics, Sichuan Normal University, 610068 Chengdu;(2) Institute of Mathematics, Sichuan University, 610068 Chengdu |
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| Abstract: | This paper deals with the asymptotic theory of initial value problems for semilinear wave equations in three space dimensions.
The well-posedness and validity of formal approximations on a long time scale of order ∣ε∣−1 are discussed in the classical sense of C
2. This result describes accuratively the approximations of solutions. At the end of this paper, an application of the asymptotic
theory is given to analyze a special model for a perturbed wave equation. |
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| Keywords: | Asymptotic theorey well-posedness application |
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