The Uniqueness Theorems in the Inverse Problems for Dirac Operators

The Uniqueness Theorems in the Inverse Problems for Dirac Operators

We introduce new supplementary data to the set of the eigenvalues, to determine uniquely potential matrix in the inverse problem for Dirac canonical operator. Besides, we obtain others uniqueness theorems in inverse problems, which are the analogues of well-known Borg, Marchenko and McLaughlin-Runde...

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Veröffentlicht in:Lobachevskii journal of mathematics 2019-10, Vol.40 (10), p.1489-1497
1. Verfasser: Harutyunyan, T. N.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Eigenvalues
Geometry
Inverse problems
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Uniqueness theorems
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Beschreibung
Zusammenfassung:We introduce new supplementary data to the set of the eigenvalues, to determine uniquely potential matrix in the inverse problem for Dirac canonical operator. Besides, we obtain others uniqueness theorems in inverse problems, which are the analogues of well-known Borg, Marchenko and McLaughlin-Rundell theorems in inverse Sturm-Liouville problems.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080219100135