On the uniqueness of a solution of the inverse problem for a simple-layer potential
We prove the uniqueness of solution of the inverse problem of single-layer potential for star-shaped smooth surfaces in the case of the metaharmonic equation Δv - K² v = 0. For the Laplace equation, a similar statement is not true.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 7, pp 1045-1054.
Citation Example: Kapanadze D. V. On the uniqueness of a solution of the inverse problem for a simple-layer potential // Ukr. Mat. Zh. - 2008. - 60, № 7. - pp. 892–899.