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arXiv · 2311.09546

Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data

Boya Liu
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Abstract

In this paper we study an inverse boundary value problem for the biharmonic operator with first order perturbation. Our geometric setting is that of a bounded simply connected domain in the Euclidean space of dimension three or higher. Assuming that the inaccessible portion of the boundary is flat, and we have knowledge of the Dirichlet-to-Neumann map on the complement, we prove logarithmic type stability estimates for both the first and the zeroth order perturbation of the biharmonic operator.

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Boya Liu. 2023-11-16. Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data. https://doi.org/10.1088/1361-6420%2Fad3be6

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