Heat kernel on manifolds with ends
[Le noyau de la chaleur sur les variétés a bouts]
Grigor’yan, Alexander ; Saloff-Coste, Laurent
Annales de l'Institut Fourier, Tome 59 (2009), p. 1917-1997 / Harvested from Numdam
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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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/aif.2480
Classification:  58J65,  31C12,  35K10,  60J60
Mots clés: noyau de la chaleur, variétés à bouts 
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Grigor’yan, Alexander ; Saloff-Coste, Laurent. Heat kernel on manifolds with ends. Annales de l'Institut Fourier, Tome 59 (2009) pp. 1917-1997. doi : 10.5802/aif.2480. http://gdmltest.u-ga.fr/item/AIF_2009__59_5_1917_0/

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