Stability of direct and inverse eigenvalue problems: the case of complex potentials

DOI10.1088/0266-5611/27/9/095007zbMath1229.34024OpenAlexW2012534198MaRDI QIDQ3174444

Márton Kiss, Miklós Horváth

Publication date: 12 October 2011

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/27/9/095007

zbMATH Keywords

Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator ⋮ Uniform full stability of recovering convolutional perturbation of the Sturm-Liouville operator from the spectrum ⋮ Weak and strong stability of the inverse Sturm‐Liouville problem ⋮ Reconstruction techniques for complex potentials ⋮ Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator ⋮ On Borg's method for non-selfadjoint Sturm-Liouville operators ⋮ An inverse problem for non-selfadjoint Sturm–Liouville operator with discontinuity conditions inside a finite interval

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