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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 479–485 (Mi zvmmf4844)  
This article is cited in 9 scientific papers (total in 9 papers)

Asymptotic behavior of the solution of the Neumann problem with a delta-like boundary function

A. A. Ershov

Chelyabinsk State University, ul. Brat'ev Kashirinukh 129, Chelyabinsk, 454136 Russia
Full-text PDF (198 kB) Citations (9)
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Abstract: A uniform asymptotic expansion is found for the integral $\iint_S\nabla^2 u\, dx\,dy$, where $u$ is the solution of the Neumann problem with a delta-function-like derivative on the boundary. A physics application of the result is discussed.
Key words: Laplace equation, asymptotic expansion of an integral related to the Neumann problem, delta-function-like derivative.
Received: 28.09.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 457–463
DOI: https://doi.org/10.1134/S0965542510030073
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: A. A. Ershov, “Asymptotic behavior of the solution of the Neumann problem with a delta-like boundary function”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 479–485; Comput. Math. Math. Phys., 50:3 (2010), 457–463
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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