Uniform hypoelliptic Green's functions
type: Item
instance of: scholarly article
title: Uniform hypoelliptic Green's functions
zbMATH Open document ID: 0915.35029
DOI: 10.1016/S0021-7824(98)80069-X
author: Bernard Gaveau
author: Richard Beals
author: Peter C. Greiner
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1999-06-23T00:00:00Z
review text: The authors construct an explicit fundamental solution for a class of subelliptic operators with polynomially growing coefficients. These operators also occur in the analysis of CR manifolds. While a number of qualitative results are known from the point of view of the regularity (or the propagation of (some kind of) singularities) explicit constructions have been made only in very few cases. The technique employed here uses the group symmetry of the equation in order to represent the solution of a p.d.e. in a lower number of variables.
reviewed by: Antonio Bove
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 35A08
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 35C99
zbMATH DE Number: 1187609
zbMATH Keywords: explicit fundamental solution
zbMATH Keywords: subelliptic operators with polynomially growing coefficients
zbMATH Keywords: CR manifolds
zbMATH Keywords: group symmetry of the equation
MaRDI profile type: Publication
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Wikidata QID: Q127982022
description: scientific article; zbMATH DE number 1187609