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Imaging acoustic obstacles by singular and hypersingular point sources

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  • We investigate a qualitative method for imaging acoustic obstacles in two and three dimensions by boundary measurements corresponding to hypersingular point sources. Rigorous mathematical justification of the imaging method is established, and numerical experiments are presented to illustrate the effectiveness of the proposed imaging scheme.
    Mathematics Subject Classification: Primary: 35R30, 35J05, 78A45; Secondary: 35P25, 81U40.

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