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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 8, Pages 1249–1255
DOI: https://doi.org/10.7868/S0044466914080122 (Mi zvmmf10072) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer

V. A. Nikishkin

Moscow State University of Economics, Statistics, and Informatics, ul. Nezhinskaya 7, Moscow, 119501, Russia
Full-text PDF (201 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466914080122
Abstract: The Dirichlet problem for a fourth-order elliptic equation with constant coefficients without first derivatives is considered in the region (layer)
$$ \Pi = \left\{ (x',x_n ) \in R^n | x' \in R^{n - 1}, x_n \in (a,b) \right\},\quad - \infty < a < b < + \infty, \quad n \geqslant 3. $$
The first term of the asymptotics of the solution at infinity is obtained.
Key words: asymptotics of solution, elliptic equation in a layer, fundamental solution, Dirichlet problem, estimates of solutions, Meijer $G$-function.
Received: 05.11.2013
Revised: 21.01.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 8, Pages 1214–1220
DOI: https://doi.org/10.1134/S0965542514080107
Bibliographic databases:
Document Type: Article
UDC: 519.635.4
MSC: 35J30,31B30
Language: Russian
Citation: V. A. Nikishkin, “On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014), 1249–1255; Comput. Math. Math. Phys., 54:8 (2014), 1214–1220
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    • This publication is cited in the following 3 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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