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Bibliographic Details
Main Authors: Bansal, Rajat, Krishnan, Venkateswaran P., Pattar, Rahul Raju
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.06048
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Table of Contents:
  • 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.