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Singular solutions for complex second order elliptic equations and their application to time-harmonic diffuse optical tomography

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posted on 2024-06-06, 10:30 authored by Jason CurranJason Curran, ROMINA GABURROROMINA GABURRO, Clifford NolanClifford Nolan

We construct singular solutions of a complex elliptic equation of second order, having an isolated singularity of any order. In particular, we extend results obtained for the real partial differential equation in divergence form by Alessandrini in 1990. Our solutions can be applied to the determination of the optical properties of an anisotropic medium in time-harmonic Diffuse Optical Tomography (DOT)

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Confirm Centre for Smart Manufacturing

Science Foundation Ireland

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Isaac Newton Institute for Mathematical Sciences

Engineering and Physical Sciences Research Council

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Publication

Applied Mathematics Letters 157, 109162

Publisher

Elsevier

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  • Health Research Institute (HRI)

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  • Mathematics & Statistics

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