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Mathematics of the USSR-Sbornik, 1984, Volume 47, Issue 2, Pages 541–556
DOI: https://doi.org/10.1070/SM1984v047n02ABEH002658 (Mi sm2900) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On local unsolvability and nonhypoellipticity of (pseudo-) differential equations with weighted symbols

N. A. Shananin
English version PDF (791 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1984v047n02ABEH002658
Abstract: This paper develops a procedure which enables one to construct microlocal asymptotic solutions of (pseudo-) differential equations with weighted symbols. Some theorems concerning local unsolvability and nonhypoellipticity are proved.
Bibliography: 7 titles.
Received: 19.05.1981
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1982, Volume 119(161), Number 4(12), Pages 548–563
Bibliographic databases:
UDC: 517.946
MSC: Primary 35S05, 35H05, 35A07; Secondary 35A30, 35B45
Language: English
Original paper language: Russian
Citation: N. A. Shananin, “On local unsolvability and nonhypoellipticity of (pseudo-) differential equations with weighted symbols”, Mat. Sb. (N.S.), 119(161):4(12) (1982), 548–563; Math. USSR-Sb., 47:2 (1984), 541–556
Citation in format AMSBIB
\Bibitem{Sha82}
\by N.~A.~Shananin
\paper On local unsolvability and nonhypoellipticity of (pseudo-) differential equations with weighted symbols
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 119(161)
\issue 4(12)
\pages 548--563
\mathnet{http://mi.mathnet.ru/sm2900}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=682499}
\zmath{https://zbmath.org/?q=an:0549.35118|0514.35089}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 47
\issue 2
\pages 541--556
\crossref{https://doi.org/10.1070/SM1984v047n02ABEH002658}
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    References:22
     
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