Large time estimates for non-symmetric heat kernel on the affine group
type: Item
instance of: scholarly article
title: Large time estimates for non-symmetric heat kernel on the affine group
zbMATH Open document ID: 1009.22009
author: Camillo Melzi
published in: Annales Mathématiques Blaise Pascal
publication date: 2003-04-06T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79243
review text: The author considers the Lie group \(G\) of affine transformations of the real line. It is a non-commutative two-dimensional solvable Lie group that is not unimodular and so it is of exponential growth. A certain natural Laplacian with a drift term on \(G\) is introduced. A large time upper estimate for the corresponding heat kernel is obtained.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 1805821
zbMATH Keywords: affine group
zbMATH Keywords: Laplacian with drift
zbMATH Keywords: heat kernel
zbMATH Keywords: large time upper estimate
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
OpenAlex ID: W2320478916
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DOI: 10.5802/AMBP.150
description: scientific article; zbMATH DE number 1805821