Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 20–24 (Mi vmumm3487)  

This article is cited in 1 scientific paper (total in 2 paper)

Mathematics

The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers

A. S. Kalashnikov
Full-text PDF (611 kB) Citations (2)
Abstract: For a heat conduction equation with non-linear sources whose action intensifies at infinity, it is proved that the Cauchy problem has no locally bounded solution in any time interval. In the case of non-linear heat absorption decaying at infinity, necessary and sufficient conditions are found for instantaneous compactification of the support of the solution for the Cauchy problem.
Received: 10.11.1982
Bibliographic databases:
Document Type: Article
UDC: 517.356+517.958
Language: Russian
Citation: A. S. Kalashnikov, “The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 20–24
Citation in format AMSBIB
\Bibitem{Kal83}
\by A.~S.~Kalashnikov
\paper The heat equation in a medium with nonuniformly distributed nonlinear heat sources or absorbers
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 3
\pages 20--24
\mathnet{http://mi.mathnet.ru/vmumm3487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0705595}
\zmath{https://zbmath.org/?q=an:0523.35060}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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