Sub-Laplacian with drift in nilpotent Lie groups
Camillo Melzi
Colloquium Mathematicae, Tome 96 (2003), p. 41-53 / Harvested from The Polish Digital Mathematics Library
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We consider the heat kernel ϕt 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 ϕt. We also obtain a large time lower Gaussian estimate for ϕt.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285181 
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     title = {Sub-Laplacian with drift in nilpotent Lie groups},
     journal = {Colloquium Mathematicae},
     volume = {96},
     year = {2003},
     pages = {41-53},
     zbl = {1037.22016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-1-5}
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Camillo Melzi. Sub-Laplacian with drift in nilpotent Lie groups. Colloquium Mathematicae, Tome 96 (2003) pp. 41-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-1-5/