Global identifiability of low regularity fluid parameters in acoustic tomography of moving fluid

Boya Liu

doi:10.1137/18m1197084

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arXiv · 1806.05792

Global identifiability of low regularity fluid parameters in acoustic tomography of moving fluid

Boya Liu

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Abstract

We are concerned with inverse boundary problems for first order perturbations of the Laplacian, which arise as model operators in the acoustic tomography of a moving fluid. We show that the knowledge of the Dirichlet--to--Neumann map on the boundary of a bounded domain in $\mathbb{R}^n$, $n\ge 3$, determines the first order perturbation of low regularity up to a natural gauge transformation, which sometimes is trivial. As an application, we recover the fluid parameters of low regularity from boundary measurements, sharpening the regularity assumptions in the recent results of [1] and [3]. In particular, we allow some fluid parameters to be discontinuous.

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Boya Liu. 2018-06-15. Global identifiability of low regularity fluid parameters in acoustic tomography of moving fluid. https://doi.org/10.1137/18m1197084

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