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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 6, Pages 1341–1354 (Mi zvmmf4472)  

This article is cited in 16 scientific papers (total in 16 papers)

Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations

V. A. Galaktionov

Moscow
Abstract: The sufficient conditions are found for the unsolvability or global solvability of the Cauchy problem for a class of quasilinear parabolic equations. Conditions are also obtained for localization (“in the large” or “in the small”) of solutions of the problem, and for the absence of localization in the large.
Received: 30.11.1981
Revised: 22.06.1983
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 6, Pages 36–44
DOI: https://doi.org/10.1016/S0041-5553(83)80073-1
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
MSC: Primary 35K55; Secondary 35K15, 35A05
Language: Russian
Citation: V. A. Galaktionov, “Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1341–1354; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 36–44
Citation in format AMSBIB
\Bibitem{Gal83}
\by V.~A.~Galaktionov
\paper Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 6
\pages 1341--1354
\mathnet{http://mi.mathnet.ru/zvmmf4472}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=731239}
\zmath{https://zbmath.org/?q=an:0576.35055}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 6
\pages 36--44
\crossref{https://doi.org/10.1016/S0041-5553(83)80073-1}
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  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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