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On the uniqueness of a solution of the inverse problem for a simple-layer potential

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Ukrainian Mathematical Journal Aims and scope

We prove the uniqueness of a solution of the inverse problem for a simple-layer potential for star-shaped smooth surfaces in the case of the metaharmonic equation Δv − K 2 v = 0. For the Laplace equation, an analogous statement is not true.

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Authors and Affiliations

  1. Tbilisi University, Tbilisi, Georgia

    D. V. Kapanadze

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  1. D. V. Kapanadze
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 7, pp. 892–899, July, 2008.

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Kapanadze, D.V. On the uniqueness of a solution of the inverse problem for a simple-layer potential. Ukr Math J 60, 1045–1054 (2008). https://doi.org/10.1007/s11253-008-0121-9

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  • DOI: https://doi.org/10.1007/s11253-008-0121-9

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