| 波动方程系数反问题 |
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| 引用本文： | 张莉 刘维国. 波动方程系数反问题[J]. 哈尔滨工业大学学报, 1995, 27(2): 29-35 |
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| 作者姓名： | 张莉 刘维国 |
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| 作者单位： | 哈尔滨工业大学数学系 |
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| 摘 要： | 讨论了一维波动方程系数反演的一种求解方法，将解进行一阶渐近展开，证明了反问题解的存在唯一性，并得到近似解的渐近阶估计。
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| 关 键 词： | 偏微分方程 反问题 波动方程 解 存在性 |
An Evaluation Method to Determine Inverse Problem of Wave Equation |
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| Zhang Li, Liu Weiguo. An Evaluation Method to Determine Inverse Problem of Wave Equation[J]. Journal of Harbin Institute of Technology, 1995, 27(2): 29-35 |
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| Authors: | Zhang Li Liu Weiguo |
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| Affiliation: | Dept. of Mathematics |
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| Abstract: | An evaluation method to determine inverse problem of wave equation is discussed,which is a gradual expansion in one-order approaching to the solution. We prove the existence and uniqueness of solution for inverse problem and obtain an estimation with gradual order to the approximate solution. |
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| Keywords: | Partial differential equation coefficient inverse problem |
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