The linearized Calderón problem for polyharmonic operators

In this article we consider a linearized Calderón problem for polyharmonic operators of order 2m(m≥2) in the spirit of Calderón's original work [7]. We give a uniqueness result for determining coefficients of order ≤2m−1 up to gauge, based on inverting momentum ray transforms.

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Bibliographic Details
Published in:Journal of Differential Equations 2023-07, Vol.360, p.407-451
Main Authors: Sahoo, Suman Kumar, Salo, Mikko
Format: Article
Language:English
Subjects:
Anisotropic perturbation
Calderón problem
Momentum ray transform
Perturbed polyharmonic operator
Tensor tomography
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Summary:In this article we consider a linearized Calderón problem for polyharmonic operators of order 2m(m≥2) in the spirit of Calderón's original work [7]. We give a uniqueness result for determining coefficients of order ≤2m−1 up to gauge, based on inverting momentum ray transforms.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2023.03.017