Carleman estimates and inverse problems for second-order hyperbolic equations

The author considers the problem of finding the time-independent coefficients of a second order hyperbolic equation from the Cauchy data at the initial moment and on a part of the lateral surface of a cylindrical domain. Estimates of Hörmander's Carleman type are obtained. On the basis of these estimates the uniqueness of the extension of the Cauchy data is proved, as well as the uniqueness of recovering the time-independent coefficients of hyperbolic equations.
Bibliography: 9 titles.