Thermoacoustic Tomography with Variable Sound Speed

  title={Thermoacoustic Tomography with Variable Sound Speed},
  author={Gunther Uhlmann},
We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval [0, T ] so that all signals issued from the domain leave it after time T . In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give almost necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary. 
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