Mathematical Sciences: Investigation of Some Multidimensional Inverse Scattering Problems

数学科学：一些多维逆散射问题的研究

• 批准号: 8620376
• 负责人: Alexander Ramm
• 金额: $ 2.9万
• 依托单位: Kansas State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-02-01 至 1991-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8620376&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Investigation; Some; Multidimensional

The project is to study problems associated with the scattering of acoustic waves. The two basic problems are (1) the direct problem, where one attempts to predict the wave structure based on a knowledge of the source and the medium through which the wave passes and (2) the inverse problem, where one attempts to characterize the source or scattering obstacle or properties of the medium based on a knowledge of the wave structure. Both of these questions are examined.

这个项目是研究与声波散射有关的问题。两个基本问题是：(1)直接问题，人们试图根据对波的来源和介质的了解来预测波的结构；(2)逆问题，人们试图根据对波的结构的了解来描述源或散射障碍或介质的特性。这两个问题都进行了检验。