Heat kernel on manifolds with ends

Alexander Grigor’yan[1]; Laurent Saloff-Coste[2]

  • [1] University of Bielefeld Department of Mathematics 33501 Bielefeld (German)
  • [2] Cornell University Department of Mathematics Ithaca, NY, 14853-4201 (USA)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 5, page 1917-1997
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Grigor’yan, Alexander, and Saloff-Coste, Laurent. "Heat kernel on manifolds with ends." Annales de l’institut Fourier 59.5 (2009): 1917-1997. <http://eudml.org/doc/10444>.

@article{Grigor2009,
abstract = {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.},
affiliation = {University of Bielefeld Department of Mathematics 33501 Bielefeld (German); Cornell University Department of Mathematics Ithaca, NY, 14853-4201 (USA)},
author = {Grigor’yan, Alexander, Saloff-Coste, Laurent},
journal = {Annales de l’institut Fourier},
keywords = {Heat kernel; manifold with ends; estimates of heat kernels; non-parabolic Riemannian manifold with ends},
language = {eng},
number = {5},
pages = {1917-1997},
publisher = {Association des Annales de l’institut Fourier},
title = {Heat kernel on manifolds with ends},
url = {http://eudml.org/doc/10444},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Grigor’yan, Alexander
AU - Saloff-Coste, Laurent
TI - Heat kernel on manifolds with ends
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 5
SP - 1917
EP - 1997
AB - 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.
LA - eng
KW - Heat kernel; manifold with ends; estimates of heat kernels; non-parabolic Riemannian manifold with ends
UR - http://eudml.org/doc/10444
ER -

References

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