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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 6, Pages 1287–1293 (Mi smj2495)  
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
Full-text PDF (260 kB) Citations (44)
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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
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 6, Pages 1023–1028
DOI: https://doi.org/10.1134/S0037446613060086
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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