Research Article
Inverse nodal problems for perturbed spherical schrödinger operators
https://doi.org/10.21203/rs.3.rs-3019981/v1
This work is licensed under a CC BY 4.0 License
published 17 Aug, 2023
Read the published version in Analysis and Mathematical Physics →
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The inverse nodal problem for perturbed spherical Schrödinger operator defined on (0, 1) is studied. We prove that the potential on the whole interval can be uniquely determined in terms of a twin dense nodal subset known on the interior subinterval (a,1), a∈(0,1). Especially, when a∈(1/2,1), we need additional spectral information, which is associated with the derivatives of eigenfunctions at some known nodal points.
Inverse nodal problem
Uniqueness theorem
Schrödinger operator
Bessel potential.
No competing interests reported.
published 17 Aug, 2023
Read the published version in Analysis and Mathematical Physics →
Editorial decision: Major revision
25 Jul, 2023
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24 Jul, 2023
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07 Jun, 2023
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06 Jun, 2023
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First submitted to journal
04 Jun, 2023
You are reading this latest preprint version