On the eigenvalue asymptotics of Zonal Schrödinger operators in even metric and non-even metric

DOI10.1080/23311835.2016.1141452zbMath1438.35298OpenAlexW2277776059MaRDI QIDQ4966733

Lung-Hui Chen

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1141452

zbMATH Keywords

eigenvalue asymptoticsWeyl asymptoticsSturm-Liouville theoryCartwright-Levinson theoryzonal metriczonal potential

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Sturm-Liouville theory (34B24) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Cites Work

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• Inverse spectral problem for the 2-sphere Schrödinger operators with zonal potentials
• Inverse spectral theory for some singular Sturm-Liouville problems
• Zonal Schrödinger operators on the \(n\)-sphere: Inverse spectral problem and rigidity
• A Borg-Levinson theorem for Bessel operators
• Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
• Inverse Sturm-Liouville problems with a singularity at zero
• A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium
• An uniqueness result with some density theorems with interior transmission eigenvalues

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