6533b852fe1ef96bd12aacb3

RESEARCH PRODUCT

The linearized Calderón problem for polyharmonic operators

Mikko SaloSuman Kumar Sahoo

subject

osittaisdifferentiaaliyhtälötCalderón problemApplied MathematicsFOS: Mathematicstensor tomographymomentum ray transformpotentiaaliteoria35R30 31B20perturbed polyharmonic operatorinversio-ongelmatAnalysisanisotropic perturbationAnalysis of PDEs (math.AP)

description

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. peerReviewed

https://dx.doi.org/10.48550/arxiv.2207.05803