Compton散射反问题的适定性的一些结果

Well-posedness of Inverse Problem for Compton Scattering

本文对于Ｃｏｍｐｔｏｎ散射无损检测问题得出了非线性Ｖｏｌｔｅｒｒａ积分方程的模型，在某些通常容许的条件下证明了问题的运定性，并探讨了一种图象重建的数值方法。

In this paper,a problem for Compton scattering nondestructive inspection is formulated with nonlinear Volterra integral equation,and well-posedness of the problem is proved under certain admissible conditions. An numerical method of image reconstruction is disscussed.