The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves.
Krutitskii, P.A. (1998)
International Journal of Mathematics and Mathematical Sciences
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Krutitskii, P.A. (1998)
International Journal of Mathematics and Mathematical Sciences
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Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
Mathematical Problems in Engineering
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Dagmar Medková (1998)
Archivum Mathematicum
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Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.