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Uniform subellipticity

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dc.contributor.authorRobinson, Derek
dc.contributor.authorter Elst, A F M
dc.date.accessioned2015-12-08T22:44:50Z
dc.date.issued2009
dc.date.updated2016-02-24T11:54:45Z
dc.description.abstractWe prove that uniform subellipticity of a positive symmetric second-order partial differential operator on L2(Rd) is self-improving in the sense that it automatically extends to higher powers of the operator. The range of extension is governed by the degree of smoothness of the coefficients of the N operator. Secondly, if the operator is of the form Xi Xi, where the Xi are N∑ i=1, vector fields on Rd with coefficients in C∞b (Rd) satisfying a uniform version of Hörmander's criterion for hypoellipticity, then we prove that it is uniformly subelliptic of order r-1, where r is the rank of the set of vector fields.
dc.identifier.issn0379-4024
dc.identifier.urihttp://hdl.handle.net/1885/37568
dc.publisherTheta Foundation
dc.sourceJournal of Operator Theory
dc.source.urihttp://www.mathjournals.org/jot/2009-062-001/2009-062-001-006.html
dc.subjectKeywords: Double commutators; Hörmander sums of squares; Subelliptic operator
dc.titleUniform subellipticity
dc.typeJournal article
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage149
local.bibliographicCitation.startpage125
local.contributor.affiliationRobinson, Derek, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationter Elst, A F M, University of Auckland
local.contributor.authoruidRobinson, Derek, u8200089
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010199 - Pure Mathematics not elsewhere classified
local.identifier.ariespublicationu9209279xPUB150
local.identifier.citationvolume62
local.identifier.scopusID2-s2.0-77449112484
local.identifier.thomsonID000270115000006
local.type.statusPublished Version

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