High-frequency stability estimates for the inverse boundary value problems for the Schrödinger and the biharmonic operator with constant attenuation on certain bounded domains

Abstract

We explore high-frequency stability estimates for the determination of the zeroth-order perturbation of the Schrödinger and the biharmonic operators with constant attenuation from the partial Dirichlet-to-Neumann map when part of the boundary is inaccessible and flat. The results are derived under mild regularity assumptions on the potential and extend the results of [21] and [28] in the presence of attenuation in such domains.