Perturbations of globally hypoelliptic operators
type: Item
instance of: scholarly article
title: Perturbations of globally hypoelliptic operators
zbMATH Open document ID: 0815.35009
published in: Journal of Differential Equations
publication date: 1994-12-19T00:00:00Z
review text: The author investigates when perturbations of globally hypoelliptic (GH) operators on a torus are again GH. It is shown that nonelliptic, constant coefficient, first order operators become generically non-GH whereas operators of order bigger or equal to three possess a stability. In the order-two borderline case examples are discussed where the GH-property is preserved under a parameter dependent perturbation except for a discrete set of a parameters.
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 703249
zbMATH Keywords: globally hypoelliptic operators on a torus
author: Adalberto P. Bergamasco
reviewed by: Heinz Siedentop
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1158
OpenAlex ID: W1963673307
DOI: 10.1006/JDEQ.1994.1158
description: scientific article; zbMATH DE number 703249