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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 5, Pages 1072–1087 (Mi zvmmf4493)  
This article is cited in 3 scientific papers (total in 3 papers)

On the global unsolvability of Cauchy problems for quasilinear parabolic equations

V. A. Galaktionov

Moscow
Full-text PDF (1792 kB) Citations (3)
Abstract: Sufficient conditions are found for global unsolvability of the Cauchy problem for parabolic equations of the non-linear heat conduction type with a source. In the case of equations of a special kind, the class of initial functions is isolated, with which the Cauchy problem is globally solvable.
Received: 07.08.1981
Revised: 06.04.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 5, Pages 31–41
DOI: https://doi.org/10.1016/S0041-5553(83)80154-2
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: Primary 35K55; Secondary 35K15, 35B40
Language: Russian
Citation: V. A. Galaktionov, “On the global unsolvability of Cauchy problems for quasilinear parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1072–1087; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 31–41
Citation in format AMSBIB
\Bibitem{Gal83}
\by V.~A.~Galaktionov
\paper On the global unsolvability of Cauchy problems for quasilinear parabolic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 5
\pages 1072--1087
\mathnet{http://mi.mathnet.ru/zvmmf4493}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=721785}
\zmath{https://zbmath.org/?q=an:0537.35046}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 5
\pages 31--41
\crossref{https://doi.org/10.1016/S0041-5553(83)80154-2}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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