Sub-Laplacian with drift in nilpotent Lie groups

Camillo Melzi. "Sub-Laplacian with drift in nilpotent Lie groups." Colloquium Mathematicae 96.1 (2003): 41-53. <http://eudml.org/doc/285181>.

@article{CamilloMelzi2003,
abstract = {We consider the heat kernel $ϕ_t$ corresponding to the left invariant sub-Laplacian with drift term in the first commutator of the Lie algebra, on a nilpotent Lie group. We improve the results obtained by G. Alexopoulos in [1], [2] proving the “exact Gaussian factor” exp(-|g|²/4(1+ε)t) in the large time upper Gaussian estimate for $ϕ_t$. We also obtain a large time lower Gaussian estimate for $ϕ_t$.},
author = {Camillo Melzi},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {41-53},
title = {Sub-Laplacian with drift in nilpotent Lie groups},
url = {http://eudml.org/doc/285181},
volume = {96},
year = {2003},
}

TY - JOUR
AU - Camillo Melzi
TI - Sub-Laplacian with drift in nilpotent Lie groups
JO - Colloquium Mathematicae
PY - 2003
VL - 96
IS - 1
SP - 41
EP - 53
AB - We consider the heat kernel $ϕ_t$ corresponding to the left invariant sub-Laplacian with drift term in the first commutator of the Lie algebra, on a nilpotent Lie group. We improve the results obtained by G. Alexopoulos in [1], [2] proving the “exact Gaussian factor” exp(-|g|²/4(1+ε)t) in the large time upper Gaussian estimate for $ϕ_t$. We also obtain a large time lower Gaussian estimate for $ϕ_t$.
LA - eng
UR - http://eudml.org/doc/285181
ER -