| Article |
|---|
| Article name |
Solving Boundary Value Problems for the Poisson Equation on a Half-Plane Bounded by a Film |
| Authors |
Kholodovsky S.Y.Doctor of Physics and Mathematics hol47@yandex.ru |
| Bibliographic description |
Kholodovskii S. Ye. Solving Boundary Value Problems for the Poisson Equation on a HalfPlane Bounded by a Film // Scholarly Notes of Transbaikal State University. 2019. Vol. 14, No 3. PP. 24-30. DOI: 10.21209/2308-8761-2019-14-3-24-30. 30 |
| Section |
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| DOI |
10.21209/2308-8761-2019-14-3-24-30 |
| UDK |
517.956 |
| Article type |
|
| Annotation |
Boundary-value problems for the Poisson equation on half-planes with inhomogeneous boundary conditions of the type of weakly and strongly permeable films on the boundary are considered. The formulas expressing solutions to the problems considered through solutions of the classical problems of Dirichlet and Neumann, respectively, on a half-plane, are derived. The theorems of existence and uniqueness are proved.
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| Key words |
boundary value problems, weakly permeable film, strongly permeable film, method of convolution of Fourier expansions |
| Article information |
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| References |
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| Full article | Solving Boundary Value Problems for the Poisson Equation on a Half-Plane Bounded by a Film |
