[HTML][HTML] Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials
AP Choudhury, VP Krishnan - Journal of Mathematical Analysis and …, 2015 - Elsevier
AP Choudhury, VP Krishnan
Journal of Mathematical Analysis and Applications, 2015•ElsevierIn 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.
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.
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.
Elsevier
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