Inverse problem for interior spectral data of the Dirac operator on a finite interval

DOI10.2977/PRIMS/1145476343zbMath1021.34073OpenAlexW2001867520MaRDI QIDQ1848505

Igor Trooshin, Kiyoshi Mochizuki

Publication date: 4 February 2003

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476343

zbMATH Keywords

boundary conditionsDirac operatorSturm-Liouville operatorBorg theorem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05)

Related Items (13)

Determination of Dirac operator with eigenparameter-dependent boundary conditions from interior spectral data ⋮ Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions ⋮ Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions ⋮ Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues ⋮ An interior inverse Sturm-Liouville problem on a time scale ⋮ Inverse problem for interior spectral data of discontinuous Dirac operator ⋮ Inverse problems for Dirac operator with the potential known on an interior subinterval ⋮ An interior inverse problem for the diffusion operator ⋮ A half-inverse problem for impulsive Dirac operator with discontinuous coefficient ⋮ Recovering differential pencils with spectral boundary conditions and spectral jump conditions ⋮ An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions ⋮ Inverse problems for the impulsive Sturm–Liouville operator with jump conditions ⋮ Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions

Cites Work

• Isospectral Dirac operators
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Inverse problem for interior spectral data of the Sturm – Liouville operator
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inverse problem for interior spectral data of the Dirac operator on a finite interval