| Article |
|---|
| Article name |
Solving the Dirichlet Problem in the Inhomogeneous Half-plane |
| Authors |
Gurimskaya I.A. Senior teacher of the Department of Higher Mathematics, Gurim567@rambler. ru |
| Bibliographic description |
|
| Section |
Scientific Research |
| UDK |
517.956 |
| DOI |
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| Article type |
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| Annotation |
The article considers the first boundary value problem on the half-plane for the divergence
equation with functional coefficients depending on two variables. The function of permeability
in the half-plane increases with the distance from the axes of a quadratic law. Using the method
of convolution of Fourier expansions, the solution is expressed in single quadratures through
the solution of the classical Dirichlet problem for the Laplace equation in the homogeneous
half-plane.
|
| Key words |
boundary value problems, method of convolution of Fourier expansions,
inhomogeneous half-plane. |
| Article information |
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| References |
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| Full article | Solving the Dirichlet Problem in the Inhomogeneous Half-plane |
