A method is developed for solving an inverse problem for the wave equation with potential where the object is to find the potential given Cauchy data on a time-like surface. The computation is carried out with one space variable by an iterative procedure. The point of this method is that it can be extended to higher dimensions in principle. A coarse mesh finite difference scheme is used which yields fair accuracy.
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Morawetz et al. (1983) studied this question.
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