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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 6, Pages 52–67 (Mi smj809)  

This article is cited in 8 scientific papers (total in 8 papers)

Integral operators determined by quasielliptic equations. I

G. V. Demidenko
Abstract: A family of integral operators is considered which appears in the construction of approximate solutions to quasielliptic equations on $R_n$. Properties of the operators are studied in the weighted Sobolev spaces $W_{p,\sigma}^r(R_n)$. The results obtained are applied to investigating solvability conditions for quasielliptic equations over $W_{p,\sigma}^r(R_n)$. A class of equations is indicated for which unconditional solvability holds.
Received: 02.06.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 6, Pages 1044–1058
DOI: https://doi.org/10.1007/BF00973468
Bibliographic databases:
UDC: 517.953, 517.983
Language: Russian
Citation: G. V. Demidenko, “Integral operators determined by quasielliptic equations. I”, Sibirsk. Mat. Zh., 34:6 (1993), 52–67; Siberian Math. J., 34:6 (1993), 1044–1058
Citation in format AMSBIB
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\by G.~V.~Demidenko
\paper Integral operators determined by quasielliptic equations.~I
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 6
\pages 52--67
\mathnet{http://mi.mathnet.ru/smj809}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268157}
\zmath{https://zbmath.org/?q=an:0820.47053}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 6
\pages 1044--1058
\crossref{https://doi.org/10.1007/BF00973468}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MQ34600006}
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  • https://www.mathnet.ru/eng/smj/v34/i6/p52
    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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