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Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 2, Pages 209–221
DOI: https://doi.org/10.1070/SM1972v016n02ABEH001421 (Mi sm3044) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the asymptotic expansion of Green's function for the heat conduction equation with small parameter

G. A. Nesenenko
English version PDF (637 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1972v016n02ABEH001421
Abstract: This work is devoted to an investigation of the asymptotic expansion for $\alpha\to0$ of Green's function $\Gamma(x,t;x_0)$ for the first boundary value problem for the equation $\Gamma_t(x,t;x_0)=\alpha^2\Gamma_{xx}(x,t;x_0)$ for the case of a moving boundary. The asymptotic expansion is obtained by means of a modification of the method of heat potentials.
Bibliography: 5 titles.
Received: 12.10.1970 and 17.09.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 87(129), Number 2, Pages 204–215
Bibliographic databases:
UDC: 517.946.9
MSC: Primary 41A60; Secondary 35B40, 35K05, 35K20
Language: English
Original paper language: Russian
Citation: G. A. Nesenenko, “On the asymptotic expansion of Green's function for the heat conduction equation with small parameter”, Mat. Sb. (N.S.), 87(129):2 (1972), 204–215; Math. USSR-Sb., 16:2 (1972), 209–221
Citation in format AMSBIB
\Bibitem{Nes72}
\by G.~A.~Nesenenko
\paper On the asymptotic expansion of Green's function for the heat conduction equation with small parameter
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 87(129)
\issue 2
\pages 204--215
\mathnet{http://mi.mathnet.ru/sm3044}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=303082}
\zmath{https://zbmath.org/?q=an:0243.35046|0248.35059}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 2
\pages 209--221
\crossref{https://doi.org/10.1070/SM1972v016n02ABEH001421}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:367
    Russian version PDF:119
    English version PDF:6
    References:29
     
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