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arXiv · 2309.06048

Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions

Rajat Bansal·Venkateswaran P. Krishnan·Rahul Raju Pattar
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Abstract

We study an inverse boundary value problem for a polyharmonic operator in two dimensions. We show that the Cauchy data uniquely determine all the anisotropic perturbations of orders at most $m-1$ and several perturbations of orders $m$ to $2m-2$ under some restriction. The uniqueness proof relies on the $\bar{\partial}$-techniques and the method of stationary phase.

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Rajat Bansal, Venkateswaran P. Krishnan, Rahul Raju Pattar. 2023-09-12. Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions. https://arxiv.org/abs/2309.06048

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