On the Hochstadt-Lieberman problem for the Dirac operator with discontinuity

DOI10.1515/jiip-2019-0077zbMath1469.34035OpenAlexW3039551070MaRDI QIDQ2660794

Yanyan Li

Publication date: 31 March 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2019-0077

zbMATH Keywords

solvabilityDirac operatorreconstructionHochstadt-Lieberman theoremdiscontinuity conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Related Items (3)

Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity ⋮ Uniqueness theorems for the impulsive Dirac operator with discontinuity

Cites Work

• Method of spectral mappings in the inverse problem theory
• Half-inverse problem for the Dirac operator
• On the Hald-Gesztesy-Simon theorem
• On the inverse spectral theory of Schrödinger and Dirac operators
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Discontinuous inverse eigenvalue problems
• On the Hochstadt–Lieberman theorem
• Integral transforms connected with discontinuous boundary value problems
• On a System of Dirac Differential Equations with Discontinuity Conditions Inside an Interval
• Boundary value problems with discontinuity conditions in an interior point of the interval
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