On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov
On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov
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从McLaughlin和Polyakov的数据看逆传输特征值问题的稳定性
DOI：
10.1016/j.jde.2022.01.052
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发表时间：
2022
影响因子：
2.4
通讯作者：
Chuan-Fu Yang
中科院分区：
文献类型：
--
作者：
Xiao-Chuan Xu;Li-Jie Ma;Chuan-Fu Yang
在这项工作中，我们利用 McLaughlin 和 Polyakov (1994) 的数据研究逆传输特征值问题 [16]。本文的主要目标是扩展 Bondarenko 和 Buterin (2017) [3] 的稳定性结果。利用变换算子理论和Riesz基的性质，根据McLaughlin和Polyakov对应的两个谱数据的差，给出了两个势差的估计，这意味着反谱问题的稳定性。
In this work, we study the inverse transmission eigenvalue problem with the data of McLaughlin and Polyakov (1994) [16]. The main goal of the present paper is an extension of the stability result of Bondarenko and Buterin (2017) [3]. By using the theory of transformation operators and the properties of Riesz basis, we give the estimates for the difference of two potentials in terms of the difference two corresponding spectral data of McLaughlin and Polyakov, which imply the stability of the inverse spectral problem.