Recovery of the nearest potential field from the \(m\) observed eigenvalues

DOI10.1016/j.physd.2021.132985zbMath1493.34052OpenAlexW3179524333MaRDI QIDQ2077577

Nur Valeev, Yavdat Sh. Il'yasov

Publication date: 21 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.132985

zbMATH Keywords

system of nonlinear equationsSchrödinger equationSturm-Liouville operatorinverse spectral problemoptimal tuning problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55)

Related Items (5)

On the dependence of nodes of Sturm-Liouville problems on potentials ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Optimization spectral problem for the Sturm-Liouville operator in a vector function space ⋮ Optimization inverse spectral problem for a vector Sturm-Liouville operator ⋮ Fundamental frequency solutions with prescribed action value to nonlinear Schrödinger equations

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