| 声学反问题的整体唯一性 |
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| 引用本文： | 刘宏宇,张凯,张然. 声学反问题的整体唯一性[J]. 东北数学, 2007, 23(5): 397-402 |
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| 作者姓名： | 刘宏宇 张凯 张然 |
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| 作者单位： | [1]Department of Mathematics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong [2]Institute of Mathematics, Jilin University, Changchun, 130012 |
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| 摘 要： | It is proved that a sound-soft scatterer in R^N （N = 2, 3） is uniquely determined by a finite number of acoustic far-field measurements. The admissible scatterer possibly consists of finitely many solid obstacles and subsets of （N - 1）- dimensional hyperplanes.
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| 关 键 词： | 声学反问题 整体唯—性 微分 方程式 |
| 文章编号： | 1000-1778（2007）05-0397-06 |
| 收稿时间： | 2006-08-28 |
| 修稿时间： | 2006-08-28 |
A Global Uniqueness Result in Inverse Acoustic Obstacle Scattering Problem |
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| LIU Hong-yu,ZHANG Kai,ZHANG Ran. A Global Uniqueness Result in Inverse Acoustic Obstacle Scattering Problem[J]. Northeastern Mathematical Journal, 2007, 23(5): 397-402 |
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| Authors: | LIU Hong-yu ZHANG Kai ZHANG Ran |
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| Affiliation: | 1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong; 2.Institute of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | It is proved that a sound-soft scatterer in RN (N = 2, 3) is uniquely determined by a finite number of acoustic far-field measurements. The admissible scatterer possibly consists of finitely many solid obstacles and subsets of (N - 1)-dimensional hyperplanes. |
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| Keywords: | global uniqueness inverse acoustic problem scattering problem |
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