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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 6, Pages 1287–1293
(Mi smj2495)
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This article is cited in 44 scientific papers (total in 44 papers)
On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain
T. Sh. Kal'menov, N. E. Tokmagambetov Institute of Mathematics and Mathematical Modelling, Ministry of Education and Science of the Republic of Kazakhstan, Almaty, Kazakhstan
Abstract:
We study a nonlocal initial-boundary value problem for the space-multidimensional heat equation in a noncylindrical domain. It is proven that the heat potential is a unique classical solution to this problem.
Keywords:
multidimensional heat equation, nonlocal boundary value problem, heat potential, noncylindrical domain.
Received: 05.12.2012 Revised: 09.04.2013
Citation:
T. Sh. Kal'menov, N. E. Tokmagambetov, “On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain”, Sibirsk. Mat. Zh., 54:6 (2013), 1287–1293; Siberian Math. J., 54:6 (2013), 1023–1028
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https://www.mathnet.ru/eng/smj2495 https://www.mathnet.ru/eng/smj/v54/i6/p1287
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Abstract page: | 558 | Full-text PDF : | 193 | References: | 96 | First page: | 16 |
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