Stability of Direct and Inverse Eigenvalue Problems for Schrodinger Operators on Finite Intervals

DOI10.1093/IMRN/RNP210zbMath1204.34018OpenAlexW1991036474MaRDI QIDQ3569183

Márton Kiss, Miklós Horváth

Publication date: 17 June 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnp210

zbMATH Keywords

inverse Sturm-Liouville problem\(l_{p'}\)-norm of the sequence of the eigenvalue differences\(L_p\)-perturbation of the potentialsSchrödinger operators on finite intervals

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 (6)

On the inverse resonance problem for Jacobi operators -- uniqueness and stability ⋮ On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov ⋮ Stability of the inverse transmission eigenvalue problem for the Schrödinger operator with a radial potential ⋮ Weak and strong stability of the inverse Sturm‐Liouville problem ⋮ Stability of the inverse resonance problem for Jacobi operators ⋮ Stability of direct and inverse scattering problems for the self-adjoint Schrödinger operators on the half-line

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