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Matematicheskie Zametki, 1996, Volume 59, Issue 6, Pages 881–892
DOI: https://doi.org/10.4213/mzm1786
(Mi mzm1786)
 

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
References:
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
English version:
Mathematical Notes, 1996, Volume 59, Issue 6, Pages 637–645
DOI: https://doi.org/10.1007/BF02307213
Bibliographic databases:
UDC: 517.2
Language: Russian
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
Citation in format AMSBIB
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\by A.~A.~Soloviev
\paper Integral equations for the Dirichlet and Neumann boundary value problems in a plane domain with a~cusp on the boundary
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 6
\pages 881--892
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 6
\pages 637--645
\crossref{https://doi.org/10.1007/BF02307213}
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