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

DOI10.1016/J.JMAA.2022.126965arXiv2209.12276MaRDI QIDQ6411856

Nesrine Aroua, Mourad Bellassoued

Publication date: 25 September 2022

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 $ngeq3$, a logarithmic type stability estimate for the inverse problem under consideration.

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30)

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