Thermoacoustic Tomography in Elastic Media

Details Thermoacoustic Tomography in Elastic Media Thermoacoustic Tomography in Elastic Media

2011-05-04

arxiv.org/abs/1105.0898v2

Mathematics

Analysis of PDEs

Submitted to Inverse Problems

Scientific paper

We investigate the problem of recovering the initial displacement f for a solution u of a linear, isotropic, non-homogeneous elastic wave equation, given measurements of u on [0,T] x \partial \Omega, where \Omega\subset\R^3 is some bounded domain containing the support of f. For the acoustic wave equation, this problem is known as thermoacoustic tomography (TAT), and has been well-studied; for the elastic wave equation, the situation is somewhat more subtle, and we give sufficient conditions on the Lam\'e parameters to ensure that recovery is possible.

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