The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility

DOI10.4171/JST/310zbMath1445.81066arXiv1805.05627MaRDI QIDQ2192447

Thierry Daudé, François Nicoleau, Niky Kamran

Publication date: 17 August 2020

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05627

zbMATH Keywords

Weyl-Titchmarsh functionsingular Sturm-Liouville problemsanisotropic Calderón problem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Sturm-Liouville theory (34B24) Inverse scattering problems in quantum theory (81U40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

Stability in the inverse Steklov problem on warped product Riemannian manifolds ⋮ Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data ⋮ Counterexamples to inverse problems for the wave equation ⋮ The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds ⋮ Separability and symmetry operators for Painlevé metrics and their conformal deformations ⋮ The Born approximation in the three-dimensional Calderón problem

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