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Mixed problem for the Laplace equation outside the circle arc

A.I. Sgibnev, P.A. Krutitskii

Moscow University Physics Bulletin 2000. 55. N 6. P. 38

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Annotation

An explicit solution to the boundary-value problem for a harmonic function outside a cut lying on a circle arc has been constructed. The Dirichlet condition is specified on one bank of the cut, the Neumann condition, on the other bank. The solution of the problem is based on reducing it to the Riemann-Gilbert problem.

Authors
A.I. Sgibnev, P.A. Krutitskii
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 6, 2000

Moscow University Physics Bulletin

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