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arXiv · 0712.0175

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

Michael V Klibanov·Sergey I Kabanikhin·Dmitriy V Nechaev·Andrey V Kuzhuget
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Abstract

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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Michael V Klibanov, Sergey I Kabanikhin, Dmitriy V Nechaev, Andrey V Kuzhuget. 2007-12-02. The Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem. https://arxiv.org/abs/0712.0175

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