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

  • D. V. Kapanadze


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.
How to Cite
Kapanadze, D. V. “On the Uniqueness of a Solution of the Inverse Problem for a Simple-Layer Potential”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 7, July 2008, pp. 892–899, https://umj.imath.kiev.ua/index.php/umj/article/view/3207.
Research articles