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

2022/09/25 by Nesrine Aroua, Aroua, Nesrine, Mourad Bellassoued +1
Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2209.12276

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 ≥ 3, a logarithmic type stability estimate for the inverse problem under consideration.

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