High-frequency stability estimates for an inverse boundary value problem for the polyharmonic operator with constant attenuation

Abstract We study high-frequency stability estimates for the determination of the zeroth order perturbation of the polyharmonic operator with constant attenuation from the partial Dirichlet-to-Neumann map when part of the boundary is inaccessible and flat. Our results extend the recent results obtained in [A. P. Choudhury and A. Kumar T., High-frequency stability estimates for the inverse boundary value problems for the Schrödinger and the biharmonic operator with constant attenuation on certain bounded domains, J. Math. Anal. Appl. 556 2026, 1, Article ID 130094] for the Schrödinger equation and the biharmonic operator to the polyharmonic case.