Mathematical Research Letters

Volume 21 (2014)

Number 5

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Pages: 1199 – 1214



Lauri Oksanen (Department of Mathematics, University College London, United Kingdom)

Gunther Uhlmann (Department of Mathematics, University of Washington, Seattle, Wash., U.S.A.)


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 [14] 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


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