Email this article The Poisson integral and Green’s function for one strongly elliptic system of equations in a circle and an ellipse
- Authors: Bagapsh A.O.1,2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Bauman Moscow State Technical University
- Issue: Vol 56, No 12 (2016)
- Pages: 2035-2042
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178799
- DOI: https://doi.org/10.1134/S0965542516120046
- ID: 178799
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Abstract
For a strongly elliptic system of second-order equations of a special form, formulas for the Poisson integral and Green’s function in a circle and an ellipse are obtained. The operator under consideration is represented by the sum of the Laplacian and a residual part with a small parameter, and the solution to the Dirichlet problem is found in the form of a series in powers of this parameter. The Poisson formula is obtained by the summation of this series.
About the authors
A. O. Bagapsh
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”; Bauman Moscow State Technical University
Author for correspondence.
Email: a.bagapsh@gmail.com
Russian Federation, Moscow, 119333; Moscow, 105005
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