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Matematicheskie Zametki, 1968, Volume 4, Issue 4, Pages 425–434 (Mi mzm9464)  
Fundamental solutions of linear elliptic equations containing a small parameter

N. A. Ivanova

M. V. Lomonosov Moscow State University
Full-text PDF (739 kB)
Abstract: The author considers a linear elliptic equation with constant coefficients and a small parameter in the leading terms. The method of plane waves is used to construct a family of fundamental solutions for this equation, for which a theorem on its asymptotic expansion is proved.
Received: 12.02.1968
English version:
Mathematical Notes, 1968, Volume 4, Issue 4, Pages 747–752
DOI: https://doi.org/10.1007/BF01093713
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. A. Ivanova, “Fundamental solutions of linear elliptic equations containing a small parameter”, Mat. Zametki, 4:4 (1968), 425–434; Math. Notes, 4:4 (1968), 747–752
Citation in format AMSBIB
\Bibitem{Iva68}
\by N.~A.~Ivanova
\paper Fundamental solutions of linear elliptic equations containing a small parameter
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 4
\pages 425--434
\mathnet{http://mi.mathnet.ru/mzm9464}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=236506}
\zmath{https://zbmath.org/?q=an:0159.39804}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 4
\pages 747--752
\crossref{https://doi.org/10.1007/BF01093713}
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