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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 4, Pages 581–596
DOI: https://doi.org/10.1070/SM1973v019n04ABEH001810 (Mi sm3068) 		 
This article is cited in 17 scientific papers (total in 18 papers)

On the analyticity of solutions of linear partial differential equations

O. A. Oleinik, E. V. Radkevich
English version PDF (796 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/SM1973v019n04ABEH001810
Abstract: We study partial differential equations and systems all of whose solutions are analytic, and obtain a priori estimates on the analytic continuations of these solutions to the complex plane. Using these estimates, we obtain conditions which are necessary for the analyticity of all solutions of linear differential equations and systems with analytic coefficients.
Bibliography: 20 titles.
Received: 02.10.1972
Bibliographic databases:
UDC: 517.945
MSC: Primary 35B99; Secondary 35B45
Language: English
Original paper language: Russian
Citation: O. A. Oleinik, E. V. Radkevich, “On the analyticity of solutions of linear partial differential equations”, Math. USSR-Sb., 19:4 (1973), 581–596
Citation in format AMSBIB
\Bibitem{OleRad73}
\by O.~A.~Oleinik, E.~V.~Radkevich
\paper On~the analyticity of solutions of linear partial differential equations
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 4
\pages 581--596
\mathnet{http://mi.mathnet.ru/eng/sm3068}
\crossref{https://doi.org/10.1070/SM1973v019n04ABEH001810}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=433019}
\zmath{https://zbmath.org/?q=an:0258.35010}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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