Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements

Nesrine Aroua; Mourad Bellassoued

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arXiv · 2209.12276

Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements

Nesrine Aroua·Mourad Bellassoued

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Abstract

In this paper, we consider the inverse boundary value problem for the polyharmonic operator. We prove that the second order perturbations are uniquely determined by the corresponding Dirichlet to Neumann map. More precisely, we show in dimension $n \geq 3$, a logarithmic type stability estimate for the inverse problem under consideration.

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Nesrine Aroua, Mourad Bellassoued. 2022-09-25. Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements. https://arxiv.org/abs/2209.12276

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