具有不连续性的狄拉克算子的半反问题和内反问题

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-04-26 DOI:10.1007/s13324-024-00913-2

Kai Wang, Ran Zhang, Chuan-Fu Yang

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引用次数: 0

摘要

本文考虑了区间（0，T）内不连续的狄拉克算子的半逆问题和内逆问题。结果表明：(i) 如果在 \Big (0,\frac{(1+\alpha )T}{4}\Big )\ 上给出了势，那么一个谱可以唯一地确定整个区间上的势；(ii) 一个谱和一些内部点的特征函数值集也可以唯一地确定整个区间上的势。

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Half inverse problem and interior inverse problem for the Dirac operators with discontinuity

In this paper, the half inverse problem and interior inverse problems for Dirac operators with discontinuity inside the interval (0, T) is considered. It is shown that (i) if the potential is given on \(\Big (0,\frac{(1+\alpha )T}{4}\Big )\), then one spectrum can uniquely determine the potential on the whole interval; (ii) one spectrum and a set of values of eigenfunctions at some internal points can also uniquely determine the potential on the whole interval.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.