On a Non-uniqueness Theorem of the Inverse Transmission Eigenvalues Problem for the Schrödinger Operator on the Half Line

Autor:	Chuan-Fu Yang, Xiao-Chuan Xu
Rok vydání:	2019
Předmět:	Pure mathematics Applied Mathematics Operator (physics) Inverse Multiplicity (mathematics) symbols.namesake Mathematics (miscellaneous) Transmission (telecommunications) symbols Half line Constant (mathematics) Eigenvalues and eigenvectors Schrödinger's cat Mathematics
Zdroj:	Results in Mathematics. 74
ISSN:	1420-9012 1422-6383
DOI:	10.1007/s00025-019-1033-8
Popis:	It is shown that all the transmission eigenvalues (including multiplicity) of the Schrodinger operator on the half line can not uniquely determine the potential if the certain constant $$\gamma $$ is unknown, which gives an answer to the open question raised by Aktosun et al. (Inverse Probl 30:075001, 2014).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::80a92eff0813c145115dc486ce361885 https://doi.org/10.1007/s00025-019-1033-8 Zobrazit plný text záznamu Full text from SpringerLink