An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points

Abstract In this paper, we investigate an inverse problem for non-selfadjoint Dirac operator with eigenparameter dependent boundary conditions and finite general transmission conditions. We obtain the uniqueness theorem by the generalized norming constants. Moreover, we give two reconstruction algorithms for the coefficient functions and the coefficients of the conditions by the method of spectral mappings.

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Publication Details

Journal
Journal of Inverse and Ill-Posed Problems
Published
2025-03-28
DOI
https://doi.org/10.1515/jiip-2024-0004
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points

Jianfang Qin, Zhaowen Zheng, Kun Li, Zhiyu Li
Journal of Inverse and Ill-Posed Problems
Spectral Theory in Mathematical Physics
article

An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points

Jianfang Qin, Zhaowen Zheng, Kun Li, Zhiyu Li
article en

Abstract

Abstract In this paper, we investigate an inverse problem for non-selfadjoint Dirac operator with eigenparameter dependent boundary conditions and finite general transmission conditions. We obtain the uniqueness theorem by the generalized norming constants. Moreover, we give two reconstruction algorithms for the coefficient functions and the coefficients of the conditions by the method of spectral mappings.

Journal of Inverse and Ill-Posed Problems
Shanxi University (CN), Qufu Normal University (CN), Guangdong Polytechnic Normal University (CN), Shandong Institute of Business and Technology (CN)
National Natural Science Foundation of China, Natural Science Foundation of Shandong Province
Openalex Percentile: Top 90%
Spectral Theory in Mathematical Physics
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