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Integral equations for the Dirichlet and Neumann boundary value problems in a plane domain with a cusp on the boundary
A. A. Soloviev Chelyabinsk State University
Abstract:
The boundary equations of the logarithmic potential theory corresponding to the interior Dirichlet problem and the exterior Neumann problem for a plane domain with a cusp on the boundary are studied. Solvability theorems are proved for these integral equations in the spaces $L^p$.
Received: 02.07.1993 Revised: 27.06.1995
Citation:
A. A. Soloviev, “Integral equations for the Dirichlet and Neumann boundary value problems in a plane domain with a cusp on the boundary”, Mat. Zametki, 59:6 (1996), 881–892; Math. Notes, 59:6 (1996), 637–645
Linking options:
https://www.mathnet.ru/eng/mzm1786https://doi.org/10.4213/mzm1786 https://www.mathnet.ru/eng/mzm/v59/i6/p881
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