A Method for Studying Singular Integral Equations |
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Authors: | D S Anikonov |
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Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia |
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Abstract: | We examine a singular integral equation of the first kind on a bounded open set of an n-dimensional space. Open subsets with
a common (contact) (n — 1)-dimensional piecewise smooth part of boundaries are selected. The underdetermined case is treated
in which the unknown part of the integrand depends on 2n independent variables whereas a given integral depends only on n
variables. In this situation we pose the problem of finding the contact part of the boundaries and prove unique solvability
of the problem. |
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Keywords: | |
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