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.

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal