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 Sibirsk. Mat. Zh., 2004, Volume 45, Number 1, Pages 16–24 (Mi smj1054)

The logarithmic gradient of the Kernel of the heat equation with drift on a Riemannian manifold

Yu. N. Bernatskaya

National Technical University of Ukraine "Kiev Polytechnic Institute"

Abstract: For a parabolic equation with drift on a Riemannian manifold of positive curvature we obtain a representation for the logarithmic gradient in the form of the sum of two vector fields one of which is known and the other is bounded. The drift field is assumed to be of sufficiently rapid decay at infinity.

Keywords: fundamental solution, Riemannian manifold, Laplace–Beltrami operator, vector field

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English version:
Siberian Mathematical Journal, 2004, 45:1, 11–18

Bibliographic databases:

UDC: 517.9:514.7

Citation: Yu. N. Bernatskaya, “The logarithmic gradient of the Kernel of the heat equation with drift on a Riemannian manifold”, Sibirsk. Mat. Zh., 45:1 (2004), 16–24; Siberian Math. J., 45:1 (2004), 11–18

Citation in format AMSBIB
\Bibitem{Ber04} \by Yu.~N.~Bernatskaya \paper The logarithmic gradient of the Kernel of the heat equation with drift on a~Riemannian manifold \jour Sibirsk. Mat. Zh. \yr 2004 \vol 45 \issue 1 \pages 16--24 \mathnet{http://mi.mathnet.ru/smj1054} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2047870} \zmath{https://zbmath.org/?q=an:1125.58008} \transl \jour Siberian Math. J. \yr 2004 \vol 45 \issue 1 \pages 11--18 \crossref{https://doi.org/10.1023/B:SIMJ.0000013010.71915.85} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000189126800003}