Boundary value problems in diffraction theory and lifting surface theory
J. Boersma (1964)
Compositio Mathematica
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J. Boersma (1964)
Compositio Mathematica
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Dagmar Medková (1998)
Applications of Mathematics
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For open sets with a piecewise smooth boundary it is shown that we can express a solution of the Robin problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series.
Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
Mathematical Problems in Engineering
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Valery Yakhno, Ali Sevimlican (2011)
Applications of Mathematics
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The time-dependent system of partial differential equations of the second order describing the electric wave propagation in vertically inhomogeneous electrically and magnetically biaxial anisotropic media is considered. A new analytical method for solving an initial value problem for this system is the main object of the paper. This method consists in the following: the initial value problem is written in terms of Fourier images with respect to lateral space variables, then the resulting...