| 波动方程的—维声速反问题 |
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| 引用本文： | 郭宝琦,陈小宏,杨姗姗. 波动方程的—维声速反问题[J]. 哈尔滨工业大学学报, 1989, 0(3) |
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| 作者姓名： | 郭宝琦 陈小宏 杨姗姗 |
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| 作者单位： | 哈尔滨工业大学数学系(郭宝琦，陈小宏)，哈尔滨工业大学数学系(杨姗姗) |
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| 摘 要： | 本文我们考虑了地球物理反演问题中,边界具有脉冲反应的一维声速反问题,通过对奇异解的分解,给出了关于解的算子方程,用压缩映象原理证明了算子具有唯一不动点,即反问题解的存在唯一性,同时给出了直接迭代求解算子方程的方法及迭代的收敛速度.
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| 关 键 词： | 偏微分方程 反问题 |
One-Dimensional Sound-Speed Inverse problem of the Wave Equation |
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| Guo Baoqi Chen Xiaohong Yang Shanshan. One-Dimensional Sound-Speed Inverse problem of the Wave Equation[J]. Journal of Harbin Institute of Technology, 1989, 0(3) |
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| Authors: | Guo Baoqi Chen Xiaohong Yang Shanshan |
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| Affiliation: | Guo Baoqi Chen Xiaohong Yang Shanshan |
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| Abstract: | This paper studies,in the inversion in geophysics,an inverse problem of theone-dimensional sound-speed problem,in which an impulse is applied to the bounda-ry.By decomposition of the singular solution,an operator equation of the solution isobtained.According to the principle of contrction mapping,the unique fixed point ofthe operator is proved,i.e.,the uniqueness of the solution for the inverse problem ex-ists.This paper,at the same time,gives a direct iterative method to solve the operatorequation and its speed of convergence. |
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| Keywords: | Partial differential equation inverse problem. |
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