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31-XX Potential theory
31Axx Two-dimensional theory
31A25 Boundary value and inverse problems

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Reflection and a mixed boundary value problem concerning analytic functions

Eva Dontová, Miroslav Dont, Josef Král (1997)

Mathematica Bohemica

A mixed boundary value problem on a doubly connected domain in the complex plane is investigated. The solution is given in an integral form using reflection mapping. The reflection mapping makes it possible to reduce the problem to an integral equation considered only on a part of the boundary of the domain.