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Mathematics of the USSR-Sbornik, 1989, Volume 64, Issue 2, Pages 383–395
DOI: https://doi.org/10.1070/SM1989v064n02ABEH003315 (Mi sm1749) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotics as $t\to0$ for solutions of the heat equation in a domain with a conical point

V. A. Kozlov
English version PDF (625 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1989v064n02ABEH003315
Abstract: The Dirichlet problem is considered for a second-order parabolic equation in a domain with a conical point on the boundary. The right sides need not satisfy consistency conditions at the initial time. A complete asymptotic expansion as $t\to0$ is obtained; it is uniform with respect to the space variables.
Bibliography: 6 titles.
Received: 07.03.1985 and 06.05.1987
Bibliographic databases:
UDC: 517.9
MSC: 35K05, 35B40
Language: English
Original paper language: Russian
Citation: V. A. Kozlov, “Asymptotics as $t\to0$ for solutions of the heat equation in a domain with a conical point”, Math. USSR-Sb., 64:2 (1989), 383–395
Citation in format AMSBIB
\Bibitem{Koz88}
\by V.~A.~Kozlov
\paper Asymptotics as $t\to0$ for solutions of the heat equation in a domain
with a conical point
\jour Math. USSR-Sb.
\yr 1989
\vol 64
\issue 2
\pages 383--395
\mathnet{http://mi.mathnet.ru/eng/sm1749}
\crossref{https://doi.org/10.1070/SM1989v064n02ABEH003315}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=959489}
\zmath{https://zbmath.org/?q=an:0699.35020}
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  • https://doi.org/10.1070/SM1989v064n02ABEH003315
  • https://www.mathnet.ru/eng/sm/v178/i3/p384
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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