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

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 lnln-type.

People: Anupam Pal Choudhury and Venkateswaran P. Krishnan

Status: Preprint submitted for publication