| Article |
|---|
| Article name |
On the Solution of Boundary Value Problems for the Poisson Equation in Piecewise Homogeneous Domains Bounded by Parabolas |
| Authors |
Kholodova S.N. Candidate of Pedagogy, taravna@mail.ru |
| Bibliographic description |
Kholodovskii S. Ye. On the Solution of Boundary Value Problems for the Poisson Equation in Piecewise Homogeneous Domains Bounded by Parabolas // Scholarly Notes of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2018. Vol. 13, No. 4. PP. 33-41. DOI: 10.21209/2308-8761-2018-13-4-33-41. |
| Section |
PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS |
| UDK |
517.956 |
| DOI |
10.21209/2308-8761-2018-13-4-33-41 |
| Article type |
|
| Annotation |
The boundary value problems for the Poisson equation in piecewise homogeneous unbounded and bounded domains with parabolic boundaries are considered. Using the method of convolution of Fourier expansions, we derive formulas expressing solutions of the problems through solutions of classical problems in a homogeneous half-plane or half-strip. Fundamental solutions are constructed in piecewise homogeneous domains with parabolic boundaries in explicit form without quadratures.
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| Key words |
boundary value problems in domains with curvilinear faces, conjugation conditions, method of convolution of Fourier expansions |
| Article information |
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| References |
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| Full article | On the Solution of Boundary Value Problems for the Poisson Equation in Piecewise Homogeneous Domains Bounded by Parabolas |
