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Mathematics of the USSR-Sbornik, 1992, Volume 72, Issue 1, Pages 47–77
DOI: https://doi.org/10.1070/SM1992v072n01ABEH001410 (Mi sm1274) 		 
This article is cited in 119 scientific papers (total in 119 papers)

The heat equation on noncompact Riemannian manifolds

A. A. Grigor'yan
English version PDF (1302 kB) Citations (119)
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DOI: https://doi.org/10.1070/SM1992v072n01ABEH001410
Abstract: The behavior of the Green function $G(x,y,t)$ of the Cauchy problem for the heat equation on a connected, noncompact, complete Riemannian manifold is investigated. For manifolds with boundary it is assumed that the Green function satisfies a Neumann condition on the boundary.
Received: 07.07.1988 and 15.08.1990
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 1, Pages 55–87
Bibliographic databases:
UDC: 517.9
MSC: 58G11
Language: English
Original paper language: Russian
Citation: A. A. Grigor'yan, “The heat equation on noncompact Riemannian manifolds”, Mat. Sb., 182:1 (1991), 55–87; Math. USSR-Sb., 72:1 (1992), 47–77
Citation in format AMSBIB
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\by A.~A.~Grigor'yan
\paper The heat equation on noncompact Riemannian manifolds
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\yr 1991
\vol 182
\issue 1
\pages 55--87
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..72...47G}
\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 72
\issue 1
\pages 47--77
\crossref{https://doi.org/10.1070/SM1992v072n01ABEH001410}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JF72300003}
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  • https://doi.org/10.1070/SM1992v072n01ABEH001410
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    • This publication is cited in the following 119 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:2403
    Russian version PDF:800
    English version PDF:41
    References:118
    First page:1
     
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