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Inverse problems for the eigenparameter Dirac operator with complex weight

  • Ran Zhang , Kai Wang EMAIL logo and Chuan-Fu Yang
Published/Copyright: June 26, 2024

Abstract

Inverse spectral problems are considered for the discontinuous Dirac operator with complex-value weight and the spectral parameter boundary conditions. We investigate some properties of spectral characteristics and show that the potential can be uniquely determined by the Weyl-type function or by two spectra on the whole interval.

MSC 2020: 34A55; 34B24; 47E05

Award Identifier / Grant number: 52205595

Funding statement: This work was supported in part by Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications (Grant No. NY222023 and No. NY222085), and the author K. Wang was supported in part by the National Natural Science Foundation of China (Grant No. 52205595).

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Received: 2024-05-08
Accepted: 2024-05-16
Published Online: 2024-06-26
Published in Print: 2025-02-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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