Heat kernel on manifolds with ends
[Le noyau de la chaleur sur les variétés a bouts]
Annales de l'Institut Fourier, Tome 59 (2009) no. 5, pp. 1917-1997.

Nous obtenons des bornes inférieures et supérieures du noyau de la chaleur sur des variétés riemanniennes non-paraboliques à bouts, sous l’hypothèse que sur chaque bout, séparément, une estimation de type Li-Yau est vérifiée.

We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate.

DOI : 10.5802/aif.2480
Classification : 58J65, 31C12, 35K10, 60J60
Keywords: Heat kernel, manifold with ends
Mot clés : noyau de la chaleur, variétés à bouts
Grigor’yan, Alexander  1 ; Saloff-Coste, Laurent 2

1 University of Bielefeld Department of Mathematics 33501 Bielefeld (German)
2 Cornell University Department of Mathematics Ithaca, NY, 14853-4201 (USA)
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Grigor’yan, Alexander ; Saloff-Coste, Laurent. Heat kernel on manifolds with ends. Annales de l'Institut Fourier, Tome 59 (2009) no. 5, pp. 1917-1997. doi : 10.5802/aif.2480. http://www.numdam.org/articles/10.5802/aif.2480/

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