Heat kernel on manifolds with ends

Grigor’yan, Alexander; Saloff-Coste, Laurent

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.

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