The linearized Calder\'on problem for polyharmonic operators

Suman Kumar Sahoo; Mikko Salo

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arXiv · 2207.05803

The linearized Calder\'on problem for polyharmonic operators

Suman Kumar Sahoo·Mikko Salo

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Abstract

In this article we consider a linearized Calder\'on problem for polyharmonic operators of order $2m\ (m\ge 2)$ in the spirit of Calder\'on's original work [Cal80]. We give a uniqueness result for determining coefficients of order $\leq 2m-1$ up to gauge, based on inverting momentum ray transforms.

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Suman Kumar Sahoo, Mikko Salo. 2022-07-12. The linearized Calder\'on problem for polyharmonic operators. https://arxiv.org/abs/2207.05803

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