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

• Date: 2008
• Main Authors: Kapanadze, D. V., Капанадзе, Д. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3207
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.