Fundamental solutions for a family of sub-elliptic PDEs
type: Item
instance of: scholarly article
title: Fundamental solutions for a family of sub-elliptic PDEs
zbMATH Open document ID: 1165.35004
author: Ovidiu Calin
author: Stanley Thomas Fricke
author: Der-Chen Chang
published in: Pure and Applied Mathematics Quarterly
publication date: 2008-08-26T00:00:00Z
review text: The authors survey the behavior of geodesics relative to a family of subelliptic operators and especially to the sub-Laplacian on Heisenberg group. The complex action function and the volume element along geodesics are discussed. Using the above two tools, the authors obtain the fundamental solution and the heat kernel for the sub-Laplacian. A brief discussion on application to magnetic resonance imaging is also given.
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 35H20
zbMATH DE Number: 5316727
zbMATH Keywords: fundamental solution
zbMATH Keywords: singular integrals
zbMATH Keywords: subelliptic operators
zbMATH Keywords: Heisenberg group
MaRDI profile type: Publication
full work available at URL: pamq.2007.v3.n2.a1
OpenAlex ID: W2314468983
DOI: 10.4310/PAMQ.2007.V3.N2.A1
description: scientific article; zbMATH DE number 5316727