Graniczne zagadnienia odwrotne dla równania falowego

The multidimensional boundary inverse problems for the wave equation are considered. On the basis of the potential theory the integral representations for the solutions of the initial-boundary problems are derived. Next, the integral equations for the inverse problems are formulated, in which density of the simple layer potential is an uknown function. The exact solutions for three one-dimensional inverse problems are found by means of the integral formulation.