Mathematical Research Letters
Volume 21 (2014)
Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Pages: 1199 – 1214
We consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula of  can be used. We study how a modeling error in the sound speed affects the reconstruction formula and quantify the effect in terms of a stability estimate.
inverse problems, photoacoustic tomography, thermoacoustic tomography, wave equation, stability
2010 Mathematics Subject Classification