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arXiv · 2411.07434

Stable determination of the first order perturbation of the biharmonic operator from partial data

Boya Liu·Salem Selim
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Abstract

We consider an inverse boundary value problem for the biharmonic operator with the first order perturbation in a bounded domain of dimension three or higher. Assuming that the first and the zeroth order perturbations are known in a neighborhood of the boundary, we establish log-type stability estimates for these perturbations from a partial Dirichlet-to-Neumann map. Specifically, measurements are taken only on an arbitrarily small open subsets of the boundary.

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Boya Liu, Salem Selim. 2024-11-11. Stable determination of the first order perturbation of the biharmonic operator from partial data. https://doi.org/10.1016/j.jde.2025.113575

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