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Using fundamental solutions in inverse scattering
No full textWe provide a brief description of recent results in inverse scattering theory having as a common mathematical framework the exploitation of the behaviour of the fundamental solution to the Helmholtz equation, in particular the fact that for the source point on the boundary partial derivative D of the scattering object such a solution is not in the Sobolev space H(1/2)(partial derivative D). Included in our discussion are uniqueness theorems, decomposition methods (including the point-source method), the method of singular sources, the linear sampling method and the factorization method
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