Stable determination of the first order perturbation of the biharmonic operator from partial data

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.

References in corpus (3)

• Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials
• Inverse boundary value problems for polyharmonic operators with non-smooth coefficients
• Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data