Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data
Analysis of PDEs
2024-05-01 v3
Abstract
In this paper we study an inverse boundary value problem for the biharmonic operator with first order perturbation. Our geometric setting is that of a bounded simply connected domain in the Euclidean space of dimension three or higher. Assuming that the inaccessible portion of the boundary is flat, and we have knowledge of the Dirichlet-to-Neumann map on the complement, we prove logarithmic type stability estimates for both the first and the zeroth order perturbation of the biharmonic operator.
Cite
@article{arxiv.2311.09546,
title = {Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data},
author = {Boya Liu},
journal= {arXiv preprint arXiv:2311.09546},
year = {2024}
}