Reconstructions for some coupled-physics inverse problems

Details Reconstructions for some coupled-physics inverse problems Reconstructions for some coupled-physics inverse problems

2012-03-06

arxiv.org/abs/1203.1210v1

Mathematics

Analysis of PDEs

5 pages, announcement and extension of results obtained in arXiv:1111.5051

Scientific paper

This letter announces and summarizes results obtained in arXiv:1111.5051 and considers several natural extensions. The aforementioned paper proposes a procedure to reconstruct coefficients in a second-order, scalar, elliptic equation from knowledge of a sufficiently large number of its solutions. We present this derivation and extend it to show which parameters may or may not be reconstructed for several hybrid (also called coupled physics) imaging modalities including photo-acoustic tomography, thermo-acoustic tomography, transient elastography, and magnetic resonance elastography. Stability estimates are also proposed.

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