Stable determination of the first order perturbation of the biharmonic operator from partial data
Analysis of PDEs
2025-06-26 v3
Abstract
We consider an inverse boundary value problem for the biharmonic operator with the first order perturbation in a bounded domain of dimension three or higher. Assuming that the first and the zeroth order perturbations are known in a neighborhood of the boundary, we establish log-type stability estimates for these perturbations from a partial Dirichlet-to-Neumann map. Specifically, measurements are taken only on an arbitrarily small open subsets of the boundary.
Keywords
Cite
@article{arxiv.2411.07434,
title = {Stable determination of the first order perturbation of the biharmonic operator from partial data},
author = {Boya Liu and Salem Selim},
journal= {arXiv preprint arXiv:2411.07434},
year = {2025}
}