Global analytic hypoellipticity in the presence of symmetry
type: Item
instance of: scholarly article
title: Global analytic hypoellipticity in the presence of symmetry
zbMATH Open document ID: 0841.35027
author: Michael Christ
published in: Mathematical Research Letters
publication date: 1995-11-16T00:00:00Z
review text: This paper deals with global analytic hypoellipticity for several classes of linear partial differential operators on some real analytic manifold without boundary. Assuming the operators to be \(C^\infty\) hypoelliptic and to commute with the action of a compact, connected Lie group the author proves a result on global analytic hypoellipticity. Some examples satisfying the hypotheses of the main theorem are given at the end of the paper. They are of the type sums of squares of vector fields or the Kohn Laplacian \(\square_b\).
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 817724
zbMATH Keywords: global analytic hypoellipticity
zbMATH Keywords: Kohn Laplacian
reviewed by: Peter R. Popivanov
MaRDI profile type: Publication
DOI: 10.4310/MRL.1994.V1.N5.A4
description: scientific article; zbMATH DE number 817724