English

The linearized Calder\'on problem for polyharmonic operators

Analysis of PDEs 2022-07-14 v1

Abstract

In this article we consider a linearized Calder\'on problem for polyharmonic operators of order 2m (m2)2m\ (m\ge 2) in the spirit of Calder\'on's original work [Cal80]. We give a uniqueness result for determining coefficients of order 2m1\leq 2m-1 up to gauge, based on inverting momentum ray transforms.

Keywords

Cite

@article{arxiv.2207.05803,
  title  = {The linearized Calder\'on problem for polyharmonic operators},
  author = {Suman Kumar Sahoo and Mikko Salo},
  journal= {arXiv preprint arXiv:2207.05803},
  year   = {2022}
}
R2 v1 2026-06-25T00:51:45.241Z