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声学反问题的整体唯一性
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.
作者姓名:刘宏宇  张凯  张然
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
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.

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年8月28日

A Global Uniqueness Result in Inverse Acoustic Obstacle Scattering Problem
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.
Authors:LIU Hong-yu  ZHANG Kai  ZHANG Ran
Institution:1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong; 2.Institute of Mathematics, Jilin University, Changchun, 130012
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.
Keywords:global uniqueness  inverse acoustic problem  scattering problem
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