A survey of non-uniqueness results for the anisotropic Calder{\'o}n problem with disjoint data

zbMath1405.35123arXiv1803.00910MaRDI QIDQ4645559

Niky Kamran, Thierry Daudé, François Nicoleau

Publication date: 10 January 2019

Full work available at URL: https://arxiv.org/abs/1803.00910

zbMATH Keywords

inverse problemsanisotropic Calderón problemnonlinear elliptic equations of Yamabe type

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (7)

The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility ⋮ A uniqueness result for the Calderón problem for \(U(N)\)-connections coupled to spinors ⋮ Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data ⋮ On the hidden mechanism behind non-uniqueness for the anisotropic Calderón problem with data on disjoint sets ⋮ ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA ⋮ Counterexamples to inverse problems for the wave equation ⋮ The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds

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