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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 3, Pages 577–609
DOI: https://doi.org/10.1070/IM1983v020n03ABEH001623 (Mi im1628) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Cauchy problem and $T$-products for hypoelliptic systems

I. A. Shishmarev
English version PDF (1181 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1983v020n03ABEH001623
Abstract: The Cauchy problem is studied for systems of pseudodifferential hypoelliptic equations. An existence and uniqueness theorem is established for the solution, the asymptotic behavior of the solution as $t\to0$ is examined, and various representations of the solution in the form of $T$-products of operators are studied.
Bibliography: 18 titles.
Received: 18.05.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1982, Volume 46, Issue 3, Pages 617–649
Bibliographic databases:
UDC: 517.9
MSC: Primary 35H05, 35S10, 81C35; Secondary 28C30, 35A05, 35B40, 35C15, 47G05
Language: English
Original paper language: Russian
Citation: I. A. Shishmarev, “On the Cauchy problem and $T$-products for hypoelliptic systems”, Izv. Akad. Nauk SSSR Ser. Mat., 46:3 (1982), 617–649; Math. USSR-Izv., 20:3 (1983), 577–609
Citation in format AMSBIB
\Bibitem{Shi82}
\by I.~A.~Shishmarev
\paper On the Cauchy problem and $T$-products for hypoelliptic systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 3
\pages 617--649
\mathnet{http://mi.mathnet.ru/im1628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=661148}
\zmath{https://zbmath.org/?q=an:0521.35049}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 3
\pages 577--609
\crossref{https://doi.org/10.1070/IM1983v020n03ABEH001623}
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  • https://www.mathnet.ru/eng/im/v46/i3/p617
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:314
    Russian version PDF:98
    English version PDF:12
    References:80
    First page:1
     
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