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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 377–390 (Mi mzm7965)  
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic behavior of the fundamental solution of an elliptic equation with respect to a complex parameter

T. M. Gataullin

Moscow Institute of Electronic Engineering
Full-text PDF (1056 kB) Citations (3)
Abstract: Maslov's canonical operator method is used for constructing the asymptotic behavior with respect to a complex parameter of the fundamental solution of a secondorder elliptic equation with smooth finite coefficients. The asymptotic form is constructed on the assumption that all trajectories of the corresponding Hamiltonian system depart to infinity. The asymptotic form is used for investigating the analytic properties of the fundamental solution.
Received: 28.02.1975
English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 210–217
DOI: https://doi.org/10.1007/BF01106746
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: T. M. Gataullin, “Asymptotic behavior of the fundamental solution of an elliptic equation with respect to a complex parameter”, Mat. Zametki, 21:3 (1977), 377–390; Math. Notes, 21:3 (1977), 210–217
Citation in format AMSBIB
\Bibitem{Gat77}
\by T.~M.~Gataullin
\paper Asymptotic behavior of the fundamental solution of an elliptic equation with respect to a~complex parameter
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 3
\pages 377--390
\mathnet{http://mi.mathnet.ru/mzm7965}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=477399}
\zmath{https://zbmath.org/?q=an:0399.35012|0351.35025}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 3
\pages 210--217
\crossref{https://doi.org/10.1007/BF01106746}
Linking options:
  • https://www.mathnet.ru/eng/mzm7965
  • https://www.mathnet.ru/eng/mzm/v21/i3/p377
    • This publication is cited in the following 3 articles:
    1. S. T. Gataullin, T. M. Gataullin, “To the Problem of a Point Source in an Inhomogeneous Medium”, Math. Notes, 114:6 (2023), 1212–1216  mathnet  crossref  crossref  mathscinet
    2. Timur M. Gataullin, Sergey T. Gataullin, Ksenia V. Ivanova, Lecture Notes in Networks and Systems, 155, “Smart Technologies” for Society, State and Economy, 2021, 1108  crossref
    3. S. G. Pyatkov, L. V. Neustroeva, “On some asymptotic representations of solutions to elliptic equations and their applications”, Complex Variables and Elliptic Equations, 66:6-7 (2021), 964  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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