Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces

DOI10.1134/S0081543813080130zbMath1292.34014MaRDI QIDQ2446242

A. A. Shkalikov, Artem M. Savchuk

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville operatorsinverse spectral problemstability results

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)

Uniform basis property of root vector systems of Dirac operators ⋮ Reconstruction of the potential of the Sturm-Liouville operator from a finite set of eigenvalues and normalizing constants ⋮ Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability ⋮ Stieltjes differential in nonlinear momentum problems ⋮ Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential

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