Thermoacoustic tomography with variable sound speed

Details Thermoacoustic tomography with variable sound speed Thermoacoustic tomography with variable sound speed

2009-02-11

arxiv.org/abs/0902.1973v2

Inverse Prob. 25(2009), 075011

Mathematics

Analysis of PDEs

Scientific paper

10.1088/0266-5611/25/7/075011

We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval, greater than the diameter of the domain. In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary.

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