The three dimensional inverse scattering problem for acoustic waves

Abstract We consider the inverse scattering problem for an acoustically soft obstacle in R 3 . By assuming a priori that the unknown scattering obstacle is starlike and has its boundary lying in a compact family of Holder continuously differentiable surfaces, it is shown that an optimal solution can be constructed which depends continuously on the measured far field data. Remarks are made on the numerical approximation of the optimal solution.

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