On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity-Reference-Cited by-同舟云学术

On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity

Published:2020-06-16 Issue:6 Volume:28 Page:849-855
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Yang Chuan-Fu¹,Yurko Vjacheslav²,Zhang Ran¹

Affiliation:

1. Department of Applied Mathematics , School of Science , Nanjing University of Science and Technology , Nanjing 210094, Jiangsu , P. R. China

2. Department of Mathematics , Saratov University , Astrakhanskaya 83 , Saratov 410012 , Russia

Abstract

Abstract Using the input data – the spectrum of the Dirac operator with discontinuity, the potential on the half-interval and one boundary condition as well as discontinuity conditions – this paper presents a uniqueness theorem and the solvability conditions of the potential on the whole interval, and provides a reconstruction algorithm of the solution to this kind of inverse problems.

Funder

National Natural Science Foundation of China

Russian Foundation for Basic Research

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2019-0077/pdf

Reference17 articles.

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4. O. H. Hald, Discontinuous inverse eigenvalue problems, Comm. Pure Appl. Math. 37 (1984), no. 5, 539–577.

5. H. Hochstadt and B. Lieberman, An inverse Sturm–Liouville problem with mixed given data, SIAM J. Appl. Math. 34 (1978), no. 4, 676–680.

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