Recovering singularities of a potential from singularities of scattering data
Recovering singularities of a potential from singularities of scattering data
复制标题
从散射数据的奇点中恢复势的奇点
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
G. Uhlmann
中科院分区：
文献类型：
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作者：
A. Greenleaf;G. Uhlmann
在本文中，我们表明，领导奇点的某些潜力，可以确定的领导奇点的后向散射（以及其他确定的散射数据集）。所讨论的潜力是余法向关于光滑表面的任意尺寸;限制其订单允许无界潜力在所有维度大于或等于3。
In this paper we show that the leading singularities of certain potentials can be determined from the leading singularities of the backscattering (as well as other determined sets of scattering data). The potentials in question are conormal with respect to smooth surfaces of arbitrary dimension; the restrictions on their orders allow for unbounded potentials in all dimension greater than or equal to three.