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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 121 scientific papers (total in 121 papers)

The heat equation on noncompact Riemannian manifolds

A. A. Grigor'yan
English version PDF (1302 kB) Citations (121) Russian version article
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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
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”, Math. USSR-Sb., 72:1 (1992), 47–77
Citation in format AMSBIB
\Bibitem{Gri91}
\by A.~A.~Grigor'yan
\paper The heat equation on noncompact Riemannian manifolds
\jour Math. USSR-Sb.
\yr 1992
\vol 72
\issue 1
\pages 47--77
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\crossref{https://doi.org/10.1070/SM1992v072n01ABEH001410}
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\zmath{https://zbmath.org/?q=an:0776.58035|0743.58031}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..72...47G}
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    • This publication is cited in the following 121 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
     
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