Large time estimates for non-symmetric heat kernel on the affine group

Camillo Melzi

Annales mathématiques Blaise Pascal (2002)

  • Volume: 9, Issue: 1, page 63-78
  • ISSN: 1259-1734

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Melzi, Camillo. "Large time estimates for non-symmetric heat kernel on the affine group." Annales mathématiques Blaise Pascal 9.1 (2002): 63-78. <http://eudml.org/doc/79243>.

@article{Melzi2002,
author = {Melzi, Camillo},
journal = {Annales mathématiques Blaise Pascal},
keywords = {affine group; Laplacian with drift; heat kernel; large time upper estimate},
language = {eng},
number = {1},
pages = {63-78},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Large time estimates for non-symmetric heat kernel on the affine group},
url = {http://eudml.org/doc/79243},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Melzi, Camillo
TI - Large time estimates for non-symmetric heat kernel on the affine group
JO - Annales mathématiques Blaise Pascal
PY - 2002
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 9
IS - 1
SP - 63
EP - 78
LA - eng
KW - affine group; Laplacian with drift; heat kernel; large time upper estimate
UR - http://eudml.org/doc/79243
ER -

References

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  6. [6] A. Grigor'yan. Estimates of heat kernels on Riemannian manifolds. In B. Davies and Yu. Safarov, editors, Spectral Theory and Gemetry. Edinburgh 1998, pages 140-225. London Math. Soc. Lectures Nte Series 273, Cambridge Univ. Press, 1998. Zbl0985.58007MR1736868
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  10. [10] V.I. Ushakov. Stabilization of solutions of the third mixed problem for a second order parabolic equation in a non-cyclic domain (Engl. trans.). Math. USSR Sb., 39:87-105, 1981. Zbl0462.35048MR560465
  11. [11] N. Varopoulos. Small time gaussian estimates of heat diffusion kernels. Part I: The semi-group technique. Bull. Sc. Math., 113:253-277, 1989. Zbl0703.58052MR1016211
  12. [12] N. Varopoulos. Small time gaussian estimates of heat diffusion kernels. Part II: The theory of large deviations. J. Funct. Anal., 93:1-33, 1990. Zbl0712.58056MR1070036
  13. [13] N. Varopoulos. Analysis on Lie groups. Rev. Mat. Iberoamericana, 12:791-917, 1996. Zbl0881.22009MR1435484
  14. [14] N. Varopoulos and S. Mustapha. Forthcoming book. Cambridge University Press. 
  15. [15] N. Varopoulos, L. Saloff-Coste, and Th. Coulhon. Analysis and geometry on groups. Cambridge Univ. Press, Cambridge, 1992. Zbl1179.22009MR1218884

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