Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions
Analysis of PDEs
2024-10-29 v3
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 and several perturbations of orders to under some restriction. The uniqueness proof relies on the -techniques and the method of stationary phase.
Keywords
Cite
@article{arxiv.2309.06048,
title = {Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions},
author = {Rajat Bansal and Venkateswaran P. Krishnan and Rahul Raju Pattar},
journal= {arXiv preprint arXiv:2309.06048},
year = {2024}
}