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

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dc.creatorKlibanov, Michael V
dc.creatorKabanikhin, Sergey I
dc.creatorNechaev, Dmitriy V
dc.creatorKuzhuget, Andrey V
dc.date2007-12-02
dc.date.accessioned2026-07-07T08:46:48Z
dc.date.available2026-07-07T08:46:48Z
dc.descriptionAn 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.
dc.descriptionPDF, 33 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/0712.0175
dc.identifierhttp://arxiv.org/abs/0712.0175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143378
dc.subjectMathematical Physics
dc.titleThe Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem
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