Recovering the Sturm-Liouville operator with singular potential using nodal data

DOI10.1007/s00025-009-0016-6zbMath1201.34021OpenAlexW2089881970MaRDI QIDQ968082

Mikhail Ignatiev, Chung-Tsun Shieh

Publication date: 3 May 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0016-6

zbMATH Keywords

Sturm-Liouville operatorsspectral asymptoticsinverse nodal problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (5)

Inverse problems: dense nodal subset on an interior subinterval ⋮ The sharp conditions of the uniqueness for inverse nodal problems ⋮ Solutions to open problems of Yang concerning inverse nodal problems ⋮ Inverse nodal problem for Dirac equations with boundary conditions polynomially dependent on the spectral parameter ⋮ On inverse nodal problem and multiplicities of eigenvalues of a vectorial Sturm-Liouville problem

Cites Work

• Inverse nodal and inverse spectral problems for discontinuous boundary value problems
• Inverse spectral theory using nodal points as data - A uniqueness result
• The asymptotics of eigenvalues and eigenfunctions and a trace formula for a potential with Delta functions
• Discrete and continuous boundary problems
• Solution of inverse nodal problems
• The inverse nodal problem on the smoothness of the potential function
• Inverse spectral problems for Sturm Liouville operators with singular potentials
• A vectorial inverse nodal problem

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