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

Nesrine Aroua; Mourad Bellassoued

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

Analysis of PDEs 2022-09-27 v1

Authors: Nesrine Aroua , Mourad Bellassoued

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.

Keywords

inverse boundary value problem polyharmonic operator second order perturbation dirichlet to neumann map stability estimate

Cite

@article{arxiv.2209.12276,
  title  = {Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements},
  author = {Nesrine Aroua and Mourad Bellassoued},
  journal= {arXiv preprint arXiv:2209.12276},
  year   = {2022}
}

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