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

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,...

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Bibliographic Details
Published in:Inverse problems 2024-06, Vol.40 (6), p.65001
Main Author: Liu, Boya
Format: Article
Language:English
Subjects:
biharmonic operator
CGO solutions
partial data
stability estimates
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Summary: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.
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/ad3be6