Mathematical Sciences: Investigation of Some Multidimensional Inverse Scattering Problems

该项目是研究与声波散射有关的问题。这两个基本问题是(1)正问题，其中一个人试图根据波通过的源和介质的知识来预测波结构，以及(2)逆问题，其中一个人试图基于波结构的知识来表征源或散射障碍或介质的性质。这两个问题都被研究过了。

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.