Journal
APPLICABLE ANALYSIS
Volume 87, Issue 10-11, Pages 1227-1254Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036810802001297
Keywords
quasi-reversibility method; Carleman estimate; numerical results; imaging of sharp peaks
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Funding
- U. S. Army Research Office [W911NF-05-1-0378]
- U. S. Army Research Laboratory
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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.
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