The Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem

Details The Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem The Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem

2007-12-02

arxiv.org/abs/0712.0175v1

Physics

Mathematical Physics

PDF, 33 pages, 16 figures

Scientific paper

An inverse problem of the determination of an initial condition in a hyperbolic equation from the lateral Cauchy data is considered. This problem has applications to the thermoacoustic tomography, as well as to linearized coefficient inverse problems of acoustics and electromagnetics. A new version of the quasi-reversibility method is described. This version requires a new Lipschitz stability estimate, which is obtained via the Carleman estimate. Numerical results are presented.

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