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

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 © 2023 Walter de Gruyter GmbH, Berlin/Boston.

Авторы
Xu X.-C. , Bondarenko N.P.
Журнал
Journal of Inverse and Ill-Posed Problems
Издательство
Walter de Gruyter GmbH
Номер выпуска
5
Язык
Английский
Страницы
711-721
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1515/JIIP-2021-0060
Том
31
Год
2023
Организации
  • 1 School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Center for Applied Mathematics of Jiangsu Province, Nanjing University of Information Science and Technology, Jiangsu, Nanjing, 210044, China
  • 2 Jiangsu International Joint Laboratory on System Modeling and Data Analysis, Nanjing University of Information Science and Technology, Nanjing, 210044, China
  • 3 S. M. Nikolskii Mathematical Institute, Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 4 Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, 6 Miklukho-Maklaya Street, Saratov, 410012, Russian Federation
Ключевые слова
Cauchy data; inverse spectral problem; local solvability; multiple eigenvalues; Robin-Regge problem; stability
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