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

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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.
PDF, 33 pages, 16 figures

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Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/143378

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.0175
 http://arxiv.org/abs/0712.0175

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arXiv