Abstract
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).
Original language | English |
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Article number | 109162 |
Journal | Applied Mathematics Letters |
Volume | 157 |
DOIs | |
Publication status | Published - Nov 2024 |
Keywords
- Inverse problems
- Optical tomography
- Singular solutions