论文标题
非本地潜力的周期性问题的直接和反问题
Direct and inverse problems for a periodic problem with non-local potential
论文作者
论文摘要
在此手稿中研究了具有周期性边界条件和等级一(非本地电位)的积分操作员的第二个衍生算子的总和。不仅对该操作员进行了光谱分析,而且解决了逆问题,即一种通过光谱数据重建非本地电位的方法。描述了为逆问题提供解决方案的光谱数据类别。
Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral analysis is conducted for this operator but the inverse problem is solved, viz., a method of the reconstruction of non-local potential by the spectral data is presented. Class of spectral data that give the solution to the inverse problem is described.