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

  • Jianfang Qin , Zhaowen Zheng ORCID logo EMAIL logo , Kun Li ORCID logo and Zhiyu Li
Published/Copyright: March 28, 2025

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.

MSC 2020: 15A29; 34A55

Award Identifier / Grant number: ZR2023MA023

Award Identifier / Grant number: 12401160

Funding statement: This research is supported by Startup Fund of Shanxi University of Electronic Science and Technology (Grant No. 2024RKJ006), Natural Science Foundation of Shandong Province (Grant No. ZR2023MA023), National Natural Science Foundation of China (Grant No. 12401160) and Guangdong Provincial Featured Innovation Projects of High School (Grant No. 2023KTSCX067).

Acknowledgements

The authors are grateful to the referees for his/her careful reading and helpful suggestions which improved and strengthened the presentation of this manuscript.

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Received: 2024-01-12
Revised: 2025-02-01
Accepted: 2025-02-19
Published Online: 2025-03-28
Published in Print: 2025-06-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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