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Matematicheskie Trudy, 2018, Volume 21, Number 1, Pages 125–154
DOI: https://doi.org/10.17377/mattrudy.2018.21.106 (Mi mt334) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Cauchy problem for one equation of Sobolev type

A. L. Pavlovab

a Donetsk National University, Donetsk, 283001 Ukraine
b Insititute of Applied Mathematics and Mechanics, Donetsk, 283114 Ukraine
Full-text PDF (285 kB) Citations (6)
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DOI: https://doi.org/10.17377/mattrudy.2018.21.106
Abstract: We give necessary and sufficient conditions for the existence of a solution to the Cauchy problem for the equation $\Delta^k\partial^2_tu+(-1)^ku=0$ in the space of tempered distributions.
Key words: Cauchy problem, equation of Sobolev type, regularization of a distribution.
Received: 12.05.2017
English version:
Siberian Advances in Mathematics, 2019, Volume 29, Issue 1, Pages 57–76
DOI: https://doi.org/10.3103/S105513441901005X
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: A. L. Pavlov, “The Cauchy problem for one equation of Sobolev type”, Mat. Tr., 21:1 (2018), 125–154; Siberian Adv. Math., 29:1 (2019), 57–76
Citation in format AMSBIB
\Bibitem{Pav18}
\by A.~L.~Pavlov
\paper The Cauchy problem for one equation of Sobolev type
\jour Mat. Tr.
\yr 2018
\vol 21
\issue 1
\pages 125--154
\mathnet{http://mi.mathnet.ru/mt334}
\crossref{https://doi.org/10.17377/mattrudy.2018.21.106}
\elib{https://elibrary.ru/item.asp?id=34878268}
\transl
\jour Siberian Adv. Math.
\yr 2019
\vol 29
\issue 1
\pages 57--76
\crossref{https://doi.org/10.3103/S105513441901005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064761607}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:44
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