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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 20–24
(Mi vmumm3487)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vmumm3487 https://www.mathnet.ru/eng/vmumm/y1983/i3/p20
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Abstract page: | 59 | Full-text PDF : | 25 |
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