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- W1987093918 abstract "The boundary value problem for the Helmholtz equation is studied outside slits in a plane. The impedance boundary conditions are specified on the slits. In general, the impedance conditions may be different at different sides of each slit. In a particular case, the impedance conditions may be the same on the sides of each slit. It is proved that the classical solution to the problem exists, and it is unique. The integral representation for a solution to the problem is obtained in the form of potentials, the densities in which are uniquely determined from the uniquely solvable system of the Fredholm integral equations of the second kind and index zero." @default.
- W1987093918 created "2016-06-24" @default.
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- W1987093918 date "2008-12-22" @default.
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- W1987093918 title "The Helmholtz equation in the exterior of slits in a plane with different impedance boundary conditions on opposite sides of the slits" @default.
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- W1987093918 doi "https://doi.org/10.1090/s0033-569x-08-01117-4" @default.
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