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An inverse problem for the wave equation outside an obstacle with a  dissipative boundary condition  is considered. The observed data are given by a single solution of the wave equation generated by an initial data supported on an open ball. An explicit analytical formula for the computation of the coefficient at a point on the surface of the obstacle, which is nearest to the center of the support of the initial data, is given. Copyright © 2016 John Wiley & Sons, Ltd.

A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain