Inverse Problems for the Dirac Operator on a Star Graph

被引：0
|
作者：
Dai Quan Liu
Chuan Fu Yang
机构：
[1] Nanjing University of Science and Technology,School of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2023年 / 39卷
关键词：
Inverse problem; Dirac operator on graph; Weyl function; weight matrix; 34A55; 34B45; 34L40; 47B25; 47E05;
D O I：
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学科分类号：
摘要：
Following the previous work, we shall study some inverse problems for the Dirac operator on an equilateral star graph. It is proven that the so-called Weyl function uniquely determines the potentials. Furthermore, we pay attention to the inverse problem of recovering the potentials from the spectral data, which consists of the eigenvalues and weight matrices, and present a constructive algorithm. The basic tool in this paper is the method of spectral mappings developed by Yurko.
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页码：161 / 175
页数：14
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