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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 1, Pages 15–44
DOI: https://doi.org/10.1070/SM1972v018n01ABEH001609 (Mi sm3215) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Positive solutions of linear quasielliptic evolution equations

V. A. Kondrat'ev, T. G. Pletneva, S. D. Èidel'man
English version PDF (1646 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1972v018n01ABEH001609
Abstract: We study a new class of elliptic equations whose characteristic surfaces are hyperplanes $t=\mathrm{const}$. We establish integrability of positive solutions of such equations with power weights in regions adjoining characteristic hyperplanes and in cylinders with generators parallel to the time axis. Information is obtained on the behavior of such solutions in unbounded regions. Examples which illustrate the accuracy of the results are mentioned.
Bibliography: 7 titles.
Received: 09.06.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 1(9), Pages 16–45
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J30, 35B45; Secondary 35J70, 35B05
Language: English
Original paper language: Russian
Citation: V. A. Kondrat'ev, T. G. Pletneva, S. D. Èidel'man, “Positive solutions of linear quasielliptic evolution equations”, Mat. Sb. (N.S.), 89(131):1(9) (1972), 16–45; Math. USSR-Sb., 18:1 (1972), 15–44
Citation in format AMSBIB
\Bibitem{KonPleEid72}
\by V.~A.~Kondrat'ev, T.~G.~Pletneva, S.~D.~\`Eidel'man
\paper Positive solutions of linear quasielliptic evolution equations
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 1(9)
\pages 16--45
\mathnet{http://mi.mathnet.ru/sm3215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=310424}
\zmath{https://zbmath.org/?q=an:0258.35014}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 1
\pages 15--44
\crossref{https://doi.org/10.1070/SM1972v018n01ABEH001609}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:380
    Russian version PDF:107
    English version PDF:14
    References:62
     
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