The Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem
Mathematical Physics
2007-12-04 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0712.0175,
title = {The Quasi-Reversibility Method for the Thermoacoustic Tomography and a Coefficient Inverse Problem},
author = {Michael V Klibanov and Sergey I Kabanikhin and Dmitriy V Nechaev and Andrey V Kuzhuget},
journal= {arXiv preprint arXiv:0712.0175},
year = {2007}
}
Comments
PDF, 33 pages, 16 figures