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On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity
Journal of Inverse and Ill-posed Problems ( IF 1.1 ) Pub Date : 2020-12-01 , DOI: 10.1515/jiip-2019-0077
Chuan-Fu Yang 1 , Vjacheslav Yurko 2 , Ran Zhang 1
Affiliation  

Abstract Using the input data – the spectrum of the Dirac operator with discontinuity, the potential on the half-interval and one boundary condition as well as discontinuity conditions – this paper presents a uniqueness theorem and the solvability conditions of the potential on the whole interval, and provides a reconstruction algorithm of the solution to this kind of inverse problems.

中文翻译:

关于具有不连续性的 Dirac 算子的 Hochstadt-Lieberman 问题

摘要 使用输入数据——具有不连续性的狄拉克算子的谱、半区间上的势和一个边界条件以及不连续性条件——本文提出了唯一性定理和整个区间上势的可解性条件,并提供了该类逆问题解的重构算法。
更新日期:2020-12-01
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