2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143378An 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 figuresMathematical Physicstext