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

2024/11/11 by Boya Liu, Liu, Boya, Salem Selim +1
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2411.07434

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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