Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients-Reference-Cited by-同舟云学术

Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients

Published:2023-02-28 Issue:5 Volume:31 Page:711-721
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Xu Xiao-Chuan¹,Bondarenko Natalia Pavlovna²

Affiliation:

1. School of Mathematics and Statistics , Nanjing University of Information Science and Technology , Nanjing 210044, Jiangsu ; Center for Applied Mathematics of Jiangsu Province, Nanjing University of Information Science and Technology, Nanjing 210044; and Jiangsu International Joint Laboratory on System Modeling and Data Analysis, Nanjing University of Information Science and Technology, Nanjing 210044 , P. R. China

2. S. M. Nikolskii Mathematical Institute , Peoples’ Friendship University of Russia (RUDN University) , 6 Miklukho-Maklaya Street , Moscow , 117198; and Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012 , Russia

Abstract

Abstract We prove local solvability and stability of the inverse Robin–Regge problem in the general case, taking eigenvalue multiplicities into account. We develop the new approach based on the reduction of this inverse problem to the recovery of the Sturm–Liouville potential from the Cauchy data

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-2021-0060/pdf

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