Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials

Abstract

In this article, stability estimates are given for the determination of the zeroth-order bounded perturbations of the biharmonic operator when the boundary Neumann measurements are made on the whole boundary and on slightly more than half the boundary, respectively. For the case of measurements on the whole boundary, the stability estimates are of ln-type and for the case of measurements on slightly more than half of the boundary, we derive estimates that are of ln ln-type.

Cited by in corpus (5)

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• 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
• Inverse boundary value problem of determining up to second order tensors appear in the lower order perturbations of the polyharmonic operator
• Stable determination of the first order perturbation of the biharmonic operator from partial data