Inverse problems for differential operators with singular boundary conditions

DOI10.1002/mana.200410322zbMath1090.34007OpenAlexW2168030319MaRDI QIDQ5711807

Gerhard Freiling, Vjacheslav Anatoljevich Yurko

Publication date: 8 December 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410322

zbMATH Keywords

Sturm-Liouville operatordifferential operatorsinverse spectral problemWeyl functionsingular boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (12)

Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds ⋮ Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces ⋮ A uniqueness theorem for Bessel operator from interior spectral data ⋮ Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity ⋮ Non-uniqueness results for the anisotropic Calderón problem with data measured on disjoint sets ⋮ Energy levels of a physical system and eigenvalues of an operator with a singular potential ⋮ Inverse problems for radial Schrödinger operators with the missing part of eigenvalues ⋮ Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes ⋮ An inverse spectral problem for the matrix Sturm-Liouville operator with a Bessel-type singularity ⋮ Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes ⋮ The uniqueness theorem for inverse nodal problems with a chemical potential ⋮ Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite interval

Cites Work

• Unnamed Item
• Higher-order differential equations having a singularity in an interior point
• Boundary value problems with regular singularities and singular boundary conditions
• Inverse problems for differential equations with turning points

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