Linearized partial data Calder\'on problem for Biharmonic operators

TL;DR

This paper extends the partial data Calderón problem to biharmonic operators, constructing special solutions and using the Segal-Bargmann transform to recover lower order perturbations.

Contribution

It introduces a novel approach for biharmonic operators in the Calderón problem, expanding methods from harmonic to biharmonic cases.

Findings

Successfully constructed special solutions for biharmonic operators

Utilized Segal-Bargmann transform to recover perturbations

Extended Calderón problem results to higher-order operators

Abstract

We consider a linearized partial data Calder\'on problem for biharmonic operators extending the analogous result for harmonic operators. We construct special solutions and utilize Segal-Bargmann transform to recover lower order perturbations.