The linearized Calderón problem for polyharmonic operators
Abstract
In this article we consider a linearized Calderón problem for polyharmonic operators of order $2m\ (m\ge 2)$ in the spirit of Calderón'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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2022
- DOI:
- arXiv:
- arXiv:2207.05803
- Bibcode:
- 2022arXiv220705803S
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35R30;
- 31B20