Formal solutions of inverse scattering problems. IV. Error estimates
Formal solutions of inverse scattering problems. IV. Error estimates
复制标题
逆散射问题的形式化解。
DOI：
10.1063/1.525267
复制
发表时间：
1982
影响因子：
1.3
通讯作者：
R. Prosser
中科院分区：
文献类型：
--
作者：
R. Prosser
本系列论文I-III中给出的某些三维逆散射问题的形式解[J.数学。太棒了。10,1819(1969)；17,1175(1976)；21,2648(1980)]用来对在正、逆势散射问题中使用Born近似所引起的误差进行定量估计。这些估计在所有能量和所有足够弱的势下都是一致有效的。
The formal solutions of certain three‐dimensional inverse scattering problems presented in papers I–III in this series [J. Math. Phys. 10, 1819 (1969); 17, 1175 (1976); 21, 2648 (1980)] are employed here to obtain quantitative estimates on the error resulting from the use of the Born approximations in both direct and inverse potential scattering problems. These estimates are uniformly valid at all energies, and for all sufficiently weak potentials.